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15312431361051 = 32112915733971233
BaseRepresentation
bin1101111011010011010000…
…0010000010110000011011
32000012212001200001222110100
43132310310002002300123
54001334324412023201
652322233413550443
73140200216015206
oct336646402026033
960185050058410
1015312431361051
114973a69344390
12187379a345423
13870c57684b16
143ad1a8a4093d
151b84a139e886
hexded34082c1b

15312431361051 has 48 divisors (see below), whose sum is σ = 25119689268960. Its totient is φ = 8903180482560.

The previous prime is 15312431361043. The next prime is 15312431361077. The reversal of 15312431361051 is 15016313421351.

15312431361051 is a `hidden beast` number, since 1 + 5 + 3 + 1 + 2 + 4 + 31 + 3 + 610 + 5 + 1 = 666.

It is not a de Polignac number, because 15312431361051 - 23 = 15312431361043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 15312431360997 and 15312431361015.

It is not an unprimeable number, because it can be changed into a prime (15312431361251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16534870 + ... + 17436363.

It is an arithmetic number, because the mean of its divisors is an integer number (523326859770).

Almost surely, 215312431361051 is an apocalyptic number.

15312431361051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

15312431361051 is a deficient number, since it is larger than the sum of its proper divisors (9807257907909).

15312431361051 is a wasteful number, since it uses less digits than its factorization.

15312431361051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33971436 (or 33971433 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 15312431361051 in words is "fifteen trillion, three hundred twelve billion, four hundred thirty-one million, three hundred sixty-one thousand, fifty-one".

Divisors: 1 3 9 11 29 33 87 99 157 261 319 471 957 1413 1727 2871 4553 5181 13659 15543 40977 50083 150249 450747 33971233 101913699 305741097 373683563 985165757 1121050689 2955497271 3363152067 5333483581 8866491813 10836823327 16000450743 32510469981 48001352229 58668319391 97531409943 154671023849 176004958173 464013071547 528014874519 1392039214641 1701381262339 5104143787017 15312431361051