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31102113132 = 22333150918251
BaseRepresentation
bin11100111101110101…
…001001010101101100
32222021120010001101000
4130331311021111230
51002144120110012
622142122120300
72150511412446
oct347565112554
988246101330
1031102113132
1112210371a32
126040050090
132c1880584c
141710977496
15c2077addc
hex73dd4956c

31102113132 has 96 divisors (see below), whose sum is σ = 83404339200. Its totient is φ = 10012680000.

The previous prime is 31102113131. The next prime is 31102113149. The reversal of 31102113132 is 23131120113.

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 (31102113131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1695007 + ... + 1713257.

It is an arithmetic number, because the mean of its divisors is an integer number (868795200).

Almost surely, 231102113132 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 31102113132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41702169600).

31102113132 is an abundant number, since it is smaller than the sum of its proper divisors (52302226068).

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

31102113132 is a wasteful number, since it uses less digits than its factorization.

31102113132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18804 (or 18796 counting only the distinct ones).

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

Adding to 31102113132 its reverse (23131120113), we get a palindrome (54233233245).

The spelling of 31102113132 in words is "thirty-one billion, one hundred two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 509 558 837 1018 1116 1527 1674 2036 3054 3348 4581 6108 9162 13743 15779 18251 18324 27486 31558 36502 47337 54753 54972 63116 73004 94674 109506 142011 164259 189348 219012 284022 328518 426033 492777 565781 568044 657036 852066 985554 1131562 1697343 1704132 1971108 2263124 3394686 5092029 6789372 9289759 10184058 15276087 18579518 20368116 27869277 30552174 37159036 55738554 61104348 83607831 111477108 167215662 250823493 287982529 334431324 501646986 575965058 863947587 1003293972 1151930116 1727895174 2591842761 3455790348 5183685522 7775528283 10367371044 15551056566 31102113132