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31135264120 = 23512754111329
BaseRepresentation
bin11100111111110011…
…100110110101111000
32222100212111021222101
4130333303212311320
51002231111422440
622145304433144
72151363243532
oct347763466570
988325437871
1031135264120
1112228054844
12604b1787b4
132c22641b0c
141715126852
15c2362869a
hex73fce6d78

31135264120 has 64 divisors (see below), whose sum is σ = 70742707200. Its totient is φ = 12332113920.

The previous prime is 31135264099. The next prime is 31135264133. The reversal of 31135264120 is 2146253113.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2742616 + ... + 2753944.

It is an arithmetic number, because the mean of its divisors is an integer number (1105354800).

Almost surely, 231135264120 is an apocalyptic number.

It is an amenable number.

31135264120 is an abundant number, since it is smaller than the sum of its proper divisors (39607443080).

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

31135264120 is a wasteful number, since it uses less digits than its factorization.

31135264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12008 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 31135264120 in words is "thirty-one billion, one hundred thirty-five million, two hundred sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 541 635 1016 1082 1270 2164 2540 2705 4328 5080 5410 10820 11329 21640 22658 45316 56645 68707 90632 113290 137414 226580 274828 343535 453160 549656 687070 1374140 1438783 2748280 2877566 5755132 6128989 7193915 11510264 12257978 14387830 24515956 28775660 30644945 49031912 57551320 61289890 122579780 245159560 778381603 1556763206 3113526412 3891908015 6227052824 7783816030 15567632060 31135264120