Numbers 11,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

10,000,000 11,000,00012,000,00013,000,000 – 14,000,000

15,000,00016,000,00017,000,00018,000,00019,000,000

All Numbers  & [1M] & [10M- [20M] - [30M] - [40M] - [50M] - [60M] - [70M] - [80M] - [90M]  &  [100M]

1  - 10 - 100  - 1000 - 10,000 - 100,000 - 1M - 10M - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

11,029,041

[Math.]  Sum of the first 81 cube numbers:

13+23+…+803+813 = 11,029,041 = (1+2+…+80+81)2 = 33212.

 

11,049,730

[Math.]  A pair of amicable numbers (9478910, 11049730), one of 8 pairs involving a 7-digit and an 8-digit number.

 

11,093,796

[Math.]  11,093,796 = 3972×2793 = 6951×1596.

 

11,102,224

[Math.]  Square of numbers of similar pattern xxy, where y = x–1.

* 1102 = 012,100 & 012+100 = 112 = 110+2.

* 3322 = 110,224 & 110+224 = 334 = 332+2.

3332= 11,102,224 & 1,110+2,224 = 3,334 = 3,332+2.

Similarly, 3…322 = 1…102…24 & 1…10+2…24 = 3…34 = 3…32+2.

* 4432 = 196,249 & 196+249 = 445 = 443+2

* 6652 = 442,225 & 442+225 = 667 = 665+2.

Similarly, 6…652 = 4…422…25 & 4…42+2…25 = 6…67 = 6…65+2.

* 7762 = 602,176 & 602+176 = 778 = 776+2.

 

11,111,111

[Math.]  11,111,111 = 11×10×10001.

 

[Math.]  

The 11th triangle number is

66

The 1111th triangle number is

617,716

The 111,111th triangle number is

6,172,882,716

The 11,111,111th triangle number is

61,728,399,382,716

All numbers are palindromic.  

 

[Math.]

 1×1 = 1

11×11 = 121

111×111 = 12321

1111×1111 = 1234321

11111×11111 = 123454321

111111×111111 = 12345654321

1111111×1111111 = 1234567654321

11111111×11111111 = 123456787654321

111111111×111111111 = 12345678987654321

1111111111×1111111111 = 1234567900987654321.

 

[Math.]

1×9+2 = 11          

12×9+3 = 111      

123×9+4 = 1111

1234×9+5 = 11,111

12,345×9+6 = 111,111

123,456×9+7 = 1,111,111

1,234,567×9+8 = 11,111,111

12,345,678×9+9 = 111,111,111 

123,456,789×9+10 = 1,111,111,111

1,234,567,900×9+11 = 11,111,111,111.

...

 

11,112,222, 11,115,555, 11,118,888, 11,122,221, 11,155,551 & 11,188,881

[Math.] 

33×34 = 1122

33×35 = 1155

33×36 = 1188

33×37 = 1221

33×47 = 1551

33×57 = 1881

 ...

3333×3334 = 11112222

3333×3335 = 11115555

3333×3336 = 11118888

3333×3337 = 11122221

3333×3347 = 11155551

3333×3357 = 11188881

… (generalizable pattern) … 

 

11,115,556

[Math.]  Repeatedly inserting numbers 15 in the middle of the square number 16 yields other squares 1156 = 342, 111556 = 3342, 11115556 = 33342, 1111155556 = 333342

 

11,118,888 (See more above)

 

11,122,221 (See more above)

 

11,122,225

[Math.]  Repeatedly inserting numbers 12 between the digits 1 and 2 in the square number 1225 = 352 yields other squares 112225 = 3352, 11122225 = 33352, 1111222225 = 333352

 

11,155,551 (See more above)

 

11,173,460

[Math.]  A pair of amicable numbers (11173460, 13212076).

 

11,188,881 (See more above)

 

11,199,112

[Math.]  A pair of amicable numbers (10596368, 11199112).

 

11,252,648

 

[Math.]  A pair of amicable numbers (11252648, 12101272).

 

11,265,670

[Math.]  Two consecutive sums of consecutive square numbers:

11,265,670 = 7412+7422+…+7592+7602 = 7612+7622+…+7782+7792.

 

11,316,496

[Math.]  11,316,496 = (1+1+31+6+4+9+6)4 = 584.

 

11,336,688 & 11,336,689

[Math.]

372 = 1369 = 1368+1

33672 = 11336689 = 11336688+1

333,6672 = 111,333,666,889 = 111,333,666,888+1

3333,66672 = 1111,3333,6666,8889 = 1111,3333,6666,8888+1.

...


11,436,171

[Math.]  The 37th Keith number.

 

11,417,641

[Math.]  The square and cube of 3379 use different digits: 

33792 = 11,417,641 and 33793 = 38,580,208,939

 

11,498,355

[Math.]  A pair of amicable numbers (11498355, 12024045).

 

11,545,616

[Math.]  A pair of amicable numbers (11545616, 12247504).

 

11,580,409

[Math.]  Sum of the first 82 cube numbers:

13+23+…+813+823 = 11,580,409 = (1+2+…+81+82)2 = 34032.

 

11,693,290

[Math.]  A pair of amicable numbers (11693290, 12361622).

 

11,777,711

[Math.]  Surrounding the number 777 with number 11 forms some prime numbers: 11777, 77711, 11777711 and 11117771111.

 

11,791,935

[Math.]  A pair of amicable numbers (9773505, 11791935), one of 8 pairs involving a 7-digit and an 8-digit number.

 

11,795,940

[Math.]  Sum (in degrees) of all internal angles of a 65,535-side polygon. A regular 65,535-side polygon is constructible by using only straightedge and compass.

 

11,796,300

[Math.]  Sum (in degrees) of all internal angles of a 65,537-side polygon. (65,537 is the largest known Fermat prime number and a regular 65,537-side polygon is constructible by using only straightedge and compass.)

 

11,807,208

[Math.]  11,807,208 = 4932´2394 = 8631´1368.

 

11,905,504

[Math.]  A pair of amicable numbers (11905504, 13337336).

 

xy,abc,def

[Math.]  For any xy = 10 to 99, there are always six 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 6 digit-rotations of 142,857 and the number xy,abc,def is a multiple of 142,857.

 

For any xy = 10 to 99, there are always twelve 6-digit numbers abc,edf such that the sum (xy+abc,def) is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xy,abc,def is a multiple of 76,923.