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10901000100 = 22352172137451
BaseRepresentation
bin10100010011100000…
…00000111110100100
31001010201011011220110
422021300000332210
5134311124000400
65001410133020
7534064654254
oct121160007644
931121134813
1010901000100
11469436a7a1
122142881170
131049574123
14755a9d964
1543c035e50
hex289c00fa4

10901000100 has 72 divisors (see below), whose sum is σ = 33395550048. Its totient is φ = 2735936000.

The previous prime is 10901000069. The next prime is 10901000101. The reversal of 10901000100 is 100010901.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10901000101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1063626 + ... + 1073825.

It is an arithmetic number, because the mean of its divisors is an integer number (463827084).

Almost surely, 210901000100 is an apocalyptic number.

10901000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10901000100 is an abundant number, since it is smaller than the sum of its proper divisors (22494549948).

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

10901000100 is a wasteful number, since it uses less digits than its factorization.

10901000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137485 (or 2137478 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 10901000100 in words is "ten billion, nine hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 2137451 4274902 6412353 8549804 10687255 12824706 21374510 25649412 32061765 36336667 42749020 53436275 64123530 72673334 106872550 109010001 128247060 145346668 160308825 181683335 213745100 218020002 320617650 363366670 436040004 545050005 641235300 726733340 908416675 1090100010 1816833350 2180200020 2725250025 3633666700 5450500050 10901000100