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102332263113 = 3417233231103
BaseRepresentation
bin101111101001101111…
…0100110101011001001
3100210010201012120210000
41133103132212223021
53134034024404423
6115002155313213
710251613612263
oct1372336465311
9323121176700
10102332263113
113a442992983
12179baa4b809
13985aa6c9a2
144d4aacab33
1529ddd80843
hex17d37a6ac9

102332263113 has 40 divisors (see below), whose sum is σ = 168896268288. Its totient is φ = 61416786816.

The previous prime is 102332263097. The next prime is 102332263127. The reversal of 102332263113 is 311362233201.

102332263113 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 3 + 22 + 631 + 1 + 3 = 666.

It is not a de Polignac number, because 102332263113 - 24 = 102332263097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (102332263183) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1583881 + ... + 1647222.

Almost surely, 2102332263113 is an apocalyptic number.

It is an amenable number.

102332263113 is a deficient number, since it is larger than the sum of its proper divisors (66564005175).

102332263113 is a wasteful number, since it uses less digits than its factorization.

102332263113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3231155 (or 3231146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102332263113 its reverse (311362233201), we get a palindrome (413694496314).

The spelling of 102332263113 in words is "one hundred two billion, three hundred thirty-two million, two hundred sixty-three thousand, one hundred thirteen".

Divisors: 1 3 9 17 23 27 51 69 81 153 207 391 459 621 1173 1377 1863 3519 10557 31671 3231103 9693309 29079927 54928751 74315369 87239781 164786253 222946107 261719343 494358759 668838321 1263361273 1483076277 2006514963 3790083819 4449228831 6019544889 11370251457 34110754371 102332263113