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131324055345120 = 25351124871980179
BaseRepresentation
bin11101110111000001000011…
…101010110101011111100000
3122012222110100012201212221010
4131313001003222311133200
5114203103131132020440
61143145234351100520
736442564341352521
oct3567010352653740
9565873305655833
10131324055345120
11389312456a4230
121288b594511740
135837a61285c41
14246019246c848
15102b090293580
hex777043ab57e0

131324055345120 has 96 divisors (see below), whose sum is σ = 451277208385920. Its totient is φ = 31836134627840.

The previous prime is 131324055345061. The next prime is 131324055345169. The reversal of 131324055345120 is 21543550423131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12435984810 + ... + 12435995369.

It is an arithmetic number, because the mean of its divisors is an integer number (4700804254020).

Almost surely, 2131324055345120 is an apocalyptic number.

131324055345120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131324055345120 is an abundant number, since it is smaller than the sum of its proper divisors (319953153040800).

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

131324055345120 is a wasteful number, since it uses less digits than its factorization.

131324055345120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24871980208 (or 24871980200 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 131324055345120 in words is "one hundred thirty-one trillion, three hundred twenty-four billion, fifty-five million, three hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 24871980179 49743960358 74615940537 99487920716 124359900895 149231881074 198975841432 248719801790 273591781969 298463762148 373079702685 397951682864 497439603580 547183563938 596927524296 746159405370 795903365728 820775345907 994879207160 1094367127876 1193855048592 1367958909845 1492318810740 1641550691814 1989758414320 2188734255752 2387710097184 2735917819690 2984637621480 3283101383628 3979516828640 4103876729535 4377468511504 5471835639380 5969275242960 6566202767256 8207753459070 8754937023008 10943671278760 11938550485920 13132405534512 16415506918140 21887342557520 26264811069024 32831013836280 43774685115040 65662027672560 131324055345120