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31113201132 = 223213106162659
BaseRepresentation
bin11100111110011111…
…011100010111101100
32222022022222101020200
4130332133130113230
51002204434414012
622143155513500
72151004563126
oct347637342754
988268871220
1031113201132
1112216655572
1260438b8890
132c1abb86b0
141712222216
15c2171b3dc
hex73e7dc5ec

31113201132 has 72 divisors (see below), whose sum is σ = 84778228080. Its totient is φ = 9564117120.

The previous prime is 31113201113. The next prime is 31113201137. The reversal of 31113201132 is 23110231113.

31113201132 is a `hidden beast` number, since 311 + 1 + 320 + 1 + 1 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (31113201137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465219 + ... + 527877.

It is an arithmetic number, because the mean of its divisors is an integer number (1177475390).

Almost surely, 231113201132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31113201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42389114040).

31113201132 is an abundant number, since it is smaller than the sum of its proper divisors (53665026948).

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

31113201132 is a wasteful number, since it uses less digits than its factorization.

31113201132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63743 (or 63738 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31113201132 its reverse (23110231113), we get a palindrome (54223432245).

The spelling of 31113201132 in words is "thirty-one billion, one hundred thirteen million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1061 2122 3183 4244 6366 9549 12732 13793 19098 27586 38196 41379 55172 62659 82758 124137 125318 165516 187977 248274 250636 375954 496548 563931 751908 814567 1127862 1629134 2255724 2443701 3258268 4887402 7331103 9774804 14662206 29324412 66481199 132962398 199443597 265924796 398887194 598330791 797774388 864255587 1196661582 1728511174 2393323164 2592766761 3457022348 5185533522 7778300283 10371067044 15556600566 31113201132