Numbers 100,000,000,000s

100,000,000,001                   

[Math.]  100,000,000,001 = 1011+0011+0011+0011+0011+0111.

 

[Math.] 100,000,000,0012 = 10,000,000,000,200,000,000,001 =

 = (100000000002–00000000001)2...

 

100,000,000,002       

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

100,000,000,0023 = 1,000,000,000,060,000,000,001,200,000,000,008 =

= (100000000006–00000000012+00000000008)3.

 

100,000,000,003

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

1033 = 1092727, 10033 = 1,009,027,027,…,

100,000,000,0033 = 100000000009,00000000027,00000000027…

 

100,000,000,004

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

10044 = 1,016,096,256,256,

100,000,000,0044 = 1,00000000016,00000000096,00000000256,00000000256…

 

100,000,000,009       

[Math.]  (Sequence of numbers 10…09).

1000000000092 = 10000000001800000000081 = (100000000018–000000000–8–1)2.

 

100,000,000,011                   

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

100,000,000,0112 = 10000000002200000000121 = (100000000022–0000000012+1)2.

 

100,000,000,014                   

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

100,000,000,0142 = 10000000002800000000196 = (100000000028+000000001–9–6)2.

 

100,000,000,058                   

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

100,000,000,0582 = 10000000011600000003364 = (100000000116+00000003+3–64)2.

 

100,000,000,078                   

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

100,000,000,0782 = 10000000015600000006084 = (100000000156+00000006–084)2.

 

100,000,000,019                   

[Math.]  The smallest 12-digit prime number.

 

100,000,147,984                   

[Math.]   The smallest 12-digit square number = 3162282.

 

100,000,404,505       

[Math.] The smallest triangular number greater than 1011, (sum of all integers from 1 to 447214): 100,000,404,505 = 1+2+…+447213+447214.

 

100,007,640,395       

[Math.]  The smallest pyramidal number greater than 1011 (sum of all squares of integers from 1 to 6694): 100,007,640,395 = 12+22+…+66932+66942.

 

100,026,577,288                   

[Math.]  The smallest 12-digit cube number = 46423.

 

100,058,901,855       

[Math.]  Two consecutive sums of consecutive numbers (smallest 12-digit): 21,548,164+…+21,552,806 = 21,552,807+…+21,557,448 = 100,058,901,855.

 

100,115,288,100                   

[Math.]   Sum of the first 795 cube numbers:

13+…+7953 =  100,115,288,100 = (1+…+795)2 = 316,4102.

 

100,280,245,065       

[Math.]   Product of the first 10 odd prime numbers: 

3,234,846,615 = 3×5×7×11×13×17×19×23×29×31.

 

100,619,646,436                   

[Math.]   Sum of the first 796 cube numbers:

13+…+7963 =  100,619,646,436 = (1+…+796)2 = 317,2062.

 

101,000,000,000s--105,000,000,000s (separate page)

 

106,000,000,000s--109,000,000,000s (separate page)

 

100,000,000,000s

[Trivia]  There are about 100 billions neurons in a human brain.  If stretched out in length, they would reach about 30,000 miles/48,000 kilometers.

 

xyz,wvu,abc,def

[Math.]  For any xyz,wvu = 100,000 to 142,856, there are always six 6-digit numbers abc,edf such that xyz,wvu +abc,def is equal to one of 6 digit-rotations of 142,857 and the number xyz,wvu,abc,def is a multiple of 142,857.