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31351982112 = 2532119896459
BaseRepresentation
bin11101001100101110…
…010100100000100000
32222220222021201011200
4131030232110200200
51003202101411422
622223005441200
72156634310443
oct351456244040
988828251150
1031351982112
1112329416220
1260ab870200
132c58500709
141735c1b65a
15c376862ac
hex74cb94820

31351982112 has 72 divisors (see below), whose sum is σ = 97262408880. Its totient is φ = 9500599680.

The previous prime is 31351982089. The next prime is 31351982119. The reversal of 31351982112 is 21128915313.

31351982112 is a `hidden beast` number, since 3 + 1 + 351 + 98 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (31351982119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4945062 + ... + 4951397.

It is an arithmetic number, because the mean of its divisors is an integer number (1350866790).

Almost surely, 231351982112 is an apocalyptic number.

31351982112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31351982112 is an abundant number, since it is smaller than the sum of its proper divisors (65910426768).

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

31351982112 is a wasteful number, since it uses less digits than its factorization.

31351982112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896486 (or 9896475 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 31351982112 in words is "thirty-one billion, three hundred fifty-one million, nine hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 9896459 19792918 29689377 39585836 59378754 79171672 89068131 108861049 118757508 158343344 178136262 217722098 237515016 316686688 326583147 356272524 435444196 475030032 653166294 712545048 870888392 950060064 979749441 1306332588 1425090096 1741776784 1959498882 2612665176 2850180192 3483553568 3918997764 5225330352 7837995528 10450660704 15675991056 31351982112