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131251041155104 = 25132171427634889
BaseRepresentation
bin11101110101111101000011…
…101011110011100000100000
3122012201110212201122201200021
4131311331003223303200200
5114200404113013430404
61143051521303403224
736434401104110053
oct3565750353634040
9565643781581607
10131251041155104
113890328802a632
12128793b8153514
135830bc6529300
14245a8273d8a9a
15102921a239454
hex775f43af3820

131251041155104 has 72 divisors (see below), whose sum is σ = 296265647642580. Its totient is φ = 57014026887168.

The previous prime is 131251041155077. The next prime is 131251041155153. The reversal of 131251041155104 is 401551140152131.

It can be written as a sum of positive squares in 6 ways, for example, as 37999186265104 + 93251854890000 = 6164348^2 + 9656700^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 131251041155104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 713725509 + ... + 713909380.

Almost surely, 2131251041155104 is an apocalyptic number.

It is an amenable number.

131251041155104 is an abundant number, since it is smaller than the sum of its proper divisors (165014606487476).

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

131251041155104 is a wasteful number, since it uses less digits than its factorization.

131251041155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427634942 (or 1427634921 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 34.

The spelling of 131251041155104 in words is "one hundred thirty-one trillion, two hundred fifty-one billion, forty-one million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 169 208 221 272 338 416 442 544 676 884 1352 1768 2704 2873 3536 5408 5746 7072 11492 22984 45968 91936 1427634889 2855269778 5710539556 11421079112 18559253557 22842158224 24269793113 37118507114 45684316448 48539586226 74237014228 97079172452 148474028456 194158344904 241270296241 296948056912 315507310469 388316689808 482540592482 593896113824 631014620938 776633379616 965081184964 1262029241876 1930162369928 2524058483752 3860324739856 4101595036097 5048116967504 7720649479712 8203190072194 10096233935008 16406380144388 32812760288776 65625520577552 131251041155104