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131402565120 = 293519900511
BaseRepresentation
bin111101001100000110…
…1000000011000000000
3110120011200002221021010
41322120031000120000
54123103024040440
6140210541000520
712331164242331
oct1723015003000
9416150087233
10131402565120
1150800360062
1221572553140
13c511640a18
146507888288
153641063580
hex1e98340600

131402565120 has 160 divisors (see below), whose sum is σ = 442187412480. Its totient is φ = 33196400640.

The previous prime is 131402565089. The next prime is 131402565127. The reversal of 131402565120 is 21565204131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×1314025651202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131402565127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304336 + ... + 596175.

It is an arithmetic number, because the mean of its divisors is an integer number (2763671328).

Almost surely, 2131402565120 is an apocalyptic number.

131402565120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131402565120 is an abundant number, since it is smaller than the sum of its proper divisors (310784847360).

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

131402565120 is an equidigital number, since it uses as much as digits as its factorization.

131402565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900556 (or 900540 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 131402565120 its reverse (21565204131), we get a palindrome (152967769251).

The spelling of 131402565120 in words is "one hundred thirty-one billion, four hundred two million, five hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 512 570 608 640 760 768 912 960 1140 1216 1280 1520 1536 1824 1920 2280 2432 2560 3040 3648 3840 4560 4864 6080 7296 7680 9120 9728 12160 14592 18240 24320 29184 36480 48640 72960 145920 900511 1801022 2701533 3602044 4502555 5403066 7204088 9005110 10806132 13507665 14408176 17109709 18010220 21612264 27015330 28816352 34219418 36020440 43224528 51329127 54030660 57632704 68438836 72040880 85548545 86449056 102658254 108061320 115265408 136877672 144081760 171097090 172898112 205316508 216122640 230530816 256645635 273755344 288163520 342194180 345796224 410633016 432245280 461061632 513291270 547510688 576327040 684388360 691592448 821266032 864490560 1026582540 1095021376 1152654080 1368776720 1383184896 1642532064 1728981120 2053165080 2190042752 2305308160 2737553440 3285064128 3457962240 4106330160 4380085504 5475106880 6570128256 6915924480 8212660320 8760171008 10950213760 13140256512 16425320640 21900427520 26280513024 32850641280 43800855040 65701282560 131402565120