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31307996160 = 2103257312101
BaseRepresentation
bin11101001010000110…
…100001110000000000
32222210220111222210100
4131022012201300000
51003104321334120
622214355002400
72155561401510
oct351206416000
988726458710
1031307996160
11123066029a1
126098b99400
132c4c36c81c
14173004b840
15c33898490
hex74a1a1c00

31307996160 has 792 divisors, whose sum is σ = 129375443808. Its totient is φ = 6856704000.

The previous prime is 31307996143. The next prime is 31307996201. The reversal of 31307996160 is 6169970313.

It is a super-3 number, since 3×313079961603 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309980110 + ... + 309980210.

Almost surely, 231307996160 is an apocalyptic number.

31307996160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31307996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64687721904).

31307996160 is an abundant number, since it is smaller than the sum of its proper divisors (98067447648).

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

31307996160 is a wasteful number, since it uses less digits than its factorization.

31307996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 31307996160 in words is "thirty-one billion, three hundred seven million, nine hundred ninety-six thousand, one hundred sixty".