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100010000100 = 22352941935393
BaseRepresentation
bin101110100100100001…
…1110111111011100100
3100120010212110101210210
41131021003313323210
53114310030000400
6113535521215420
710140224655213
oct1351103677344
9316125411723
10100010000100
113946104634a
1217471191570
13957a90136a
144baa50507a
152905062950
hex17490f7ee4

100010000100 has 72 divisors (see below), whose sum is σ = 289401164640. Its totient is φ = 26665748480.

The previous prime is 100010000099. The next prime is 100010000107. The reversal of 100010000100 is 1000010001.

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100010000107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2808004 + ... + 2843396.

It is an arithmetic number, because the mean of its divisors is an integer number (4019460620).

Almost surely, 2100010000100 is an apocalyptic number.

100010000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010000100 is an abundant number, since it is smaller than the sum of its proper divisors (189391164540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010000100 is a wasteful number, since it uses less digits than its factorization.

100010000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44829 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

Adding to 100010000100 its reverse (1000010001), we get a palindrome (101010010101).

Subtracting from 100010000100 its reverse (1000010001), we obtain a palindrome (99009990099).

The spelling of 100010000100 in words is "one hundred billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 9419 18838 28257 35393 37676 47095 56514 70786 94190 106179 113028 141285 141572 176965 188380 212358 235475 282570 353930 424716 470950 530895 565140 706425 707860 884825 941900 1061790 1412850 1769650 2123580 2654475 2825700 3539300 5308950 10617900 333366667 666733334 1000100001 1333466668 1666833335 2000200002 3333666670 4000400004 5000500005 6667333340 8334166675 10001000010 16668333350 20002000020 25002500025 33336666700 50005000050 100010000100