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131123121133032 = 2333786721640961
BaseRepresentation
bin11101110100000101111011…
…000011101001010111101000
3122012021020200202120022101000
4131310011323003221113220
5114141310123002224112
61142513044045355000
736422222114626230
oct3564057303512750
9565236622508330
10131123121133032
1138864004563726
1212858657b68a60
135821b1b552162
142454570286cc0
151025c2ecd57dc
hex77417b0e95e8

131123121133032 has 64 divisors (see below), whose sum is σ = 416263876617600. Its totient is φ = 37463748894720.

The previous prime is 131123121133007. The next prime is 131123121133051. The reversal of 131123121133032 is 230331121321131.

131123121133032 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 312 + 11 + 330 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131123121132987 and 131123121133005.

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, 43360818969 + ... + 43360821992.

It is an arithmetic number, because the mean of its divisors is an integer number (6504123072150).

Almost surely, 2131123121133032 is an apocalyptic number.

131123121133032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131123121133032 is an abundant number, since it is smaller than the sum of its proper divisors (285140755484568).

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

131123121133032 is a wasteful number, since it uses less digits than its factorization.

131123121133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86721640983 (or 86721640973 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131123121133032 its reverse (230331121321131), we get a palindrome (361454242454163).

The spelling of 131123121133032 in words is "one hundred thirty-one trillion, one hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 86721640961 173443281922 260164922883 346886563844 520329845766 607051486727 693773127688 780494768649 1040659691532 1214102973454 1560989537298 1821154460181 2081319383064 2341484305947 2428205946908 3121979074596 3642308920362 4682968611894 4856411893816 5463463380543 6243958149192 7284617840724 9365937223788 10926926761086 14569235681448 16390390141629 18731874447576 21853853522172 32780780283258 43707707044344 65561560566516 131123121133032