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12310300131129 = 32721113195206383
BaseRepresentation
bin1011001100100011011100…
…0100001111111100111001
31121120212000222112000011200
42303020313010033330321
53103142443313144004
642103135050444413
72410250466423600
oct263106704177471
947525028460150
1012310300131129
113a1685054a070
12146999a733709
136b3b19451330
14307b70a8ca37
151653449c5239
hexb323710ff39

12310300131129 has 72 divisors (see below), whose sum is σ = 24300852331392. Its totient is φ = 5903040991680.

The previous prime is 12310300131007. The next prime is 12310300131139. The reversal of 12310300131129 is 92113100301321.

12310300131129 is a `hidden beast` number, since 1 + 2 + 310 + 30 + 0 + 1 + 311 + 2 + 9 = 666.

It is not a de Polignac number, because 12310300131129 - 28 = 12310300130873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12310300131139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 97540129 + ... + 97666254.

It is an arithmetic number, because the mean of its divisors is an integer number (337511837936).

Almost surely, 212310300131129 is an apocalyptic number.

It is an amenable number.

12310300131129 is a deficient number, since it is larger than the sum of its proper divisors (11990552200263).

12310300131129 is a wasteful number, since it uses less digits than its factorization.

12310300131129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195206427 (or 195206417 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 12310300131129 in words is "twelve trillion, three hundred ten billion, three hundred million, one hundred thirty-one thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 11 13 21 33 39 49 63 77 91 99 117 143 147 231 273 429 441 539 637 693 819 1001 1287 1617 1911 3003 4851 5733 7007 9009 21021 63063 195206383 585619149 1366444681 1756857447 2147270213 2537682979 4099334043 6441810639 7613048937 9565112767 12298002129 15030891491 17763780853 19325431917 22839146811 27914512769 28695338301 45092674473 53291342559 83743538307 86086014903 105216240437 124346465971 135278023419 159874027677 195401589383 251230614921 315648721311 373039397913 586204768149 946946163933 1119118193739 1367811125681 1758614304447 4103433377043 12310300131129