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102312232013 = 1741672190887
BaseRepresentation
bin101111101001001001…
…0001100010001001101
3100210002022111220021102
41133102102030101031
53134013412411023
6115000202112445
710251251423465
oct1372222142115
9323068456242
10102312232013
113a432651252
12179b41ab725
139856878374
144d48194ba5
1529dc225628
hex17d248c44d

102312232013 has 16 divisors (see below), whose sum is σ = 112629170304. Its totient is φ = 92543024640.

The previous prime is 102312232007. The next prime is 102312232021. The reversal of 102312232013 is 310232213201.

It is a cyclic number.

It is not a de Polignac number, because 102312232013 - 220 = 102311183437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102312232093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1048745 + ... + 1142142.

It is an arithmetic number, because the mean of its divisors is an integer number (7039323144).

Almost surely, 2102312232013 is an apocalyptic number.

It is an amenable number.

102312232013 is a deficient number, since it is larger than the sum of its proper divisors (10316938291).

102312232013 is a wasteful number, since it uses less digits than its factorization.

102312232013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191012.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102312232013 its reverse (310232213201), we get a palindrome (412544445214).

The spelling of 102312232013 in words is "one hundred two billion, three hundred twelve million, two hundred thirty-two thousand, thirteen".

Divisors: 1 17 41 67 697 1139 2747 46699 2190887 37245079 89826367 146789429 1527048239 2495420293 6018366589 102312232013