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131202431133032 = 23722934733260467
BaseRepresentation
bin11101110101001111110010…
…010011010010010101101000
3122012112211102000022202022102
4131311033302103102111220
5114144110034332224112
61143013321554112532
736431030360536100
oct3565176223222550
9565484360282272
10131202431133032
1138894702a30576
121286bab087b748
13582944a73943c
14245833552c200
151027d22909bc2
hex7753f24d2568

131202431133032 has 96 divisors (see below), whose sum is σ = 296889589461600. Its totient is φ = 54134202294144.

The previous prime is 131202431133023. The next prime is 131202431133047. The reversal of 131202431133032 is 230331134202131.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 131202431132986 and 131202431133004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12685538 + ... + 20574929.

It is an arithmetic number, because the mean of its divisors is an integer number (3092599890225).

Almost surely, 2131202431133032 is an apocalyptic number.

It is an amenable number.

131202431133032 is an abundant number, since it is smaller than the sum of its proper divisors (165687158328568).

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

131202431133032 is a wasteful number, since it uses less digits than its factorization.

131202431133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33260863 (or 33260852 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 131202431133032 its reverse (230331134202131), we get a palindrome (361533565335163).

The spelling of 131202431133032 in words is "one hundred thirty-one trillion, two hundred two billion, four hundred thirty-one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 347 392 406 694 812 1388 1421 1624 2429 2776 2842 4858 5684 9716 10063 11368 17003 19432 20126 34006 40252 68012 70441 80504 136024 140882 281764 493087 563528 986174 1972348 3944696 33260467 66520934 133041868 232823269 266083736 465646538 931293076 964553543 1629762883 1862586152 1929107086 3259525766 3858214172 6519051532 6751874801 7716428344 11541382049 13038103064 13503749602 23082764098 27007499204 46165528196 47263123607 54014998408 80789674343 92331056392 94526247214 161579348686 189052494428 323158697372 334700079421 378104988856 565527720401 646317394744 669400158842 1131055440802 1338800317684 2262110881604 2342900555947 2677600635368 4524221763208 4685801111894 9371602223788 16400303891629 18743204447576 32800607783258 65601215566516 131202431133032