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131234410300014 = 23273152237643187
BaseRepresentation
bin11101110101101101100100…
…011010001000001001101110
3122012122212221200202202101100
4131311231210122020021232
5114200121033014100024
61143040131130423530
736433242012141060
oct3565554432101156
9565585850682340
10131234410300014
11388a7223381a9a
1212876136591ba6
13582c475b63258
142459aca76b730
151028a9517d7c9
hex775b6468826e

131234410300014 has 96 divisors (see below), whose sum is σ = 335450965764096. Its totient is φ = 36285261007680.

The previous prime is 131234410299943. The next prime is 131234410300027. The reversal of 131234410300014 is 410003014432131.

131234410300014 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 344 + 1 + 0 + 300 + 0 + 14 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203716129 + ... + 204359315.

It is an arithmetic number, because the mean of its divisors is an integer number (3494280893376).

Almost surely, 2131234410300014 is an apocalyptic number.

131234410300014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131234410300014 is an abundant number, since it is smaller than the sum of its proper divisors (204216555464082).

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

131234410300014 is a wasteful number, since it uses less digits than its factorization.

131234410300014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695470 (or 695467 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131234410300014 its reverse (410003014432131), we get a palindrome (541237424732145).

The spelling of 131234410300014 in words is "one hundred thirty-one trillion, two hundred thirty-four billion, four hundred ten million, three hundred thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 52237 104474 156711 313422 365659 470133 643187 731318 940266 1096977 1286374 1619347 1929561 2193954 3238694 3290931 3859122 4502309 4858041 5788683 6581862 9004618 9716082 11335429 11577366 13506927 14574123 19938797 22670858 27013854 29148246 34006287 39877594 40520781 59816391 68012574 81041562 102018861 119632782 139571579 179449173 204037722 279143158 358898346 418714737 837429474 1256144211 2512288422 33598159319 67196318638 100794477957 201588955914 235187115233 302383433871 470374230466 604766867742 705561345699 1041542938889 1411122691398 2083085877778 2116684037097 3124628816667 4233368074194 6249257633334 7290800572223 9373886450001 14581601144446 18747772900002 21872401716669 43744803433338 65617205150007 131234410300014