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13713184107135 = 3251717925730859
BaseRepresentation
bin1100011110001101100101…
…1101111010101001111111
31210112222010101012221222200
43013203121131322221333
53244134100112412020
645055425543042543
72613513325445142
oct307433135725177
953488111187880
1013713184107135
114407801a211a7
121655859740453
137861bc6a8486
14355a162dc059
1518baa0e0b590
hexc78d977aa7f

13713184107135 has 24 divisors (see below), whose sum is σ = 25167726127440. Its totient is φ = 6883480649472.

The previous prime is 13713184107083. The next prime is 13713184107143. The reversal of 13713184107135 is 53170148131731.

13713184107135 is a `hidden beast` number, since 1 + 3 + 7 + 131 + 8 + 410 + 71 + 35 = 666.

It is not a de Polignac number, because 13713184107135 - 212 = 13713184103039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 8962864665 + ... + 8962866194.

It is an arithmetic number, because the mean of its divisors is an integer number (1048655255310).

Almost surely, 213713184107135 is an apocalyptic number.

13713184107135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13713184107135 is a deficient number, since it is larger than the sum of its proper divisors (11454542020305).

13713184107135 is a wasteful number, since it uses less digits than its factorization.

13713184107135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17925730887 (or 17925730884 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13713184107135 in words is "thirteen trillion, seven hundred thirteen billion, one hundred eighty-four million, one hundred seven thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 17925730859 53777192577 89628654295 161331577731 268885962885 304737424603 806657888655 914212273809 1523687123015 2742636821427 4571061369045 13713184107135