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113500317132 = 223216319342249
BaseRepresentation
bin110100110110100100…
…1010110010111001100
3101211222000212111210100
41221231021112113030
53324422040122012
6124050305411100
711125433530446
oct1515511262714
9354860774710
10113500317132
1144153a74194
1219bb7039a90
13a91a747987
1456ca025496
152e445688dc
hex1a6d2565cc

113500317132 has 36 divisors (see below), whose sum is σ = 288663739000. Its totient is φ = 37601330112.

The previous prime is 113500317121. The next prime is 113500317149. The reversal of 113500317132 is 231713005311.

It is a happy number.

113500317132 is a `hidden beast` number, since 1 + 13 + 500 + 3 + 17 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 113500317096 and 113500317105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9665257 + ... + 9676992.

Almost surely, 2113500317132 is an apocalyptic number.

113500317132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113500317132 is an abundant number, since it is smaller than the sum of its proper divisors (175163421868).

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

113500317132 is a wasteful number, since it uses less digits than its factorization.

113500317132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19342422 (or 19342417 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 113500317132 in words is "one hundred thirteen billion, five hundred million, three hundred seventeen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 652 978 1467 1956 2934 5868 19342249 38684498 58026747 77368996 116053494 174080241 232106988 348160482 696320964 3152786587 6305573174 9458359761 12611146348 18916719522 28375079283 37833439044 56750158566 113500317132