Numbers 10,000,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

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10,000,000,000

The smallest 11-digit square number = 100,0002.

[Science]  1 m (meter) = 1010 Ångströms.

10,000,000,001

[Math.]  10,000,000,001 = 100,0002+000012.

[Math.]  10,000,000,0012 = 100,000,000,020,000,000,001 = (10000000002–0000000001)2

1,000,000,0013 = 1,000,000,000300,000,000,030,000,000,001 =

= (10000000003–0000000003+0000000001)3

10,000,000,002

[Math.]  (Sequence of numbers 10…02 & odd powers)

10,000,000,0023   = 1,000,000,000,600,000,000,120,000,000,008 =

(10000000006–0000000012+0000000008)3

10,000,000,003

[Math.]  (Sequence of numbers 10…033 = 10…09,0…27,0…27)

1033 = 1092727, 10033 = 1,009,027,027,…, 10,000,000,0033 = 10000000009,0000000027,0000000027…

10,000,000,004

[Math.]  (Sequence of numbers 10…044 = 1,00…16,00…96,0…256, 0…256)

10044 = 1,016,096,256,256,…, 10,000,000,0044 =

= 1,0000000016,0000000096,0000000256,0000000256…

10,000,000,009

[Math.]  (Sequence of numbers 10…09)

100000000092 = 100000000180000000081 = (1000000001800000000–8–1)2.

10,000,000,011

[Math.]  (Sequence of numbers 10…0112 = 10…022…121)

10,000,000,0112 = 100000000220000000121 = (10000000022–000000012+1)2.

10,000,000,014

[Math.]  (Sequence of numbers 10…0142 = 10…028…196)

10,000,000,0142 = 100000000280000000196 = (10000000028+00000001–9–6)2.

10,000,000,019

[Math.]  The smallest prime number greater than 1010.

10,000,000,058

[Math.]  (Sequence of numbers 10…0582 = 10…01160…03364)

10,000,000,0582 = 100000001160000003364 = (10000000116+0000003+3–64)2.

10,000,000,078

[Math.]  (Sequence of numbers 10…0782 = 10…01560…06084)

10,000,000,0782 = 100000001560000006084 = (10000000156+0000006–084)2.

10,000,020,331

[Math.]  The smallest triangular number greater than 1010, (sum of all integers from 1 to 141421):  10,000,020,331 = 1+2+…+141420+141421.

10,000,200,001

[Math.]  10,000,200,001 = (100002–00001)2 = 100,0012.

10,000,908,915

[Math.]  Two consecutive sums of consecutive numbers, (smallest 11-digit): 4,639,716+…+4,641,870 = 4,641,871+…+4,644,024 = 10,000,908,915.

10,001,800,081

[Math.]  (Sequence of numbers 10…09)

10,001,800,081 = (100018–000–8–1)2 = 1000092.

10,002,200,121

[Math.]  (Sequence of numbers 10…0112 = 10…022…121)

100,0112 = 10,002,200,121 = (100022–0012+1)2.

10,002,582,590

[Math.]  The smallest pyramidal number greater than 1010 (sum of all squares of integers from 1 to 3106): 10,002,582,590 = 12+22+…+31062+31072.

10,002,800,196

[Math.]  (Sequence of numbers 10…0142 = 10…028…196)

100,0142 = 10,002,800,196 = (100028+001–9–6)2.

10,007,873,875

[Math.]  The smallest 11-digit cube number = 21553.

10,011,603,364

[Math.]  (Sequence of numbers 10…0582 = 10…01160…03364)

100,0582 = 10,011,603,364 = (100116+03+3–64)2.

10,015,606,084

[Math.]  (Sequence of numbers 10…0782 = 10…01560…06084).

100,0782 = 10,015,606,084 = (100156+6–084)2.

10,016,824,132

[Math.]  10,016,824,132 = 22+44+66+88+1010.

10,025,616,384

[Math.]  Sum of the first 447 cube numbers:

13+…+4473 = 10,025,616,384 = (1+…+447)2 = 100,1282.

10,100,000,000s--10,800,000,000s (separate page)

10,900,000,000s (separate page)

xy,zwv,abc,def

[Math.]  For any xy,zwv = 10,000 to 99,999, there are always six 6-digit numbers abc,edf such that xy,zwv +abc,def is equal to one of 6 digit-rotations of 142,857 and the number xy,zwv,abc,def is a multiple of 142,857.

For any xy,zwv  = 10,000 to 76,922, there are always twelve 6-digit numbers abc,edf such that xy,zwv +abc,def is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number xy,zwv,abc,def is a multiple of 76,923.