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100625742372 = 223172511965193
BaseRepresentation
bin101110110110111000…
…0101111101000100100
3100121201210002100102010
41131231300233220210
53122040142223442
6114120554514220
710161412461201
oct1355560575044
9317653070363
10100625742372
1139747676661
1217603435970
13964834c3bc
144c281c8ca8
15293e13eb9c
hex176dc2fa24

100625742372 has 48 divisors (see below), whose sum is σ = 249595359552. Its totient is φ = 31443072000.

The previous prime is 100625742331. The next prime is 100625742377. The reversal of 100625742372 is 273247526001.

It is a super-2 number, since 2×1006257423722 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100625742372.

It is not an unprimeable number, because it can be changed into a prime (100625742377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931393 + ... + 1033800.

It is an arithmetic number, because the mean of its divisors is an integer number (5199903324).

Almost surely, 2100625742372 is an apocalyptic number.

100625742372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100625742372 is an abundant number, since it is smaller than the sum of its proper divisors (148969617180).

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

100625742372 is a wasteful number, since it uses less digits than its factorization.

100625742372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965468 (or 1965466 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 100625742372 in words is "one hundred billion, six hundred twenty-five million, seven hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 251 502 753 1004 1506 3012 4267 8534 12801 17068 25602 51204 1965193 3930386 5895579 7860772 11791158 23582316 33408281 66816562 100224843 133633124 200449686 400899372 493263443 986526886 1479790329 1973053772 2959580658 5919161316 8385478531 16770957062 25156435593 33541914124 50312871186 100625742372