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102312032331 = 3173754219413
BaseRepresentation
bin101111101001001000…
…1011011100001001011
3100210002022010202100210
41133102101123201023
53134013340013311
6115000153532203
710251246632355
oct1372221334113
9323068122323
10102312032331
113a432525223
12179b4114063
139856808502
144d481420d5
1529dc1d63a6
hex17d245b84b

102312032331 has 16 divisors (see below), whose sum is σ = 148344316704. Its totient is φ = 62460762624.

The previous prime is 102312032323. The next prime is 102312032341. The reversal of 102312032331 is 133230213201.

It is not a de Polignac number, because 102312032331 - 23 = 102312032323 is a prime.

It is a super-2 number, since 2×1023120323312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102312032298 and 102312032307.

It is not an unprimeable number, because it can be changed into a prime (102312032311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27107820 + ... + 27111593.

It is an arithmetic number, because the mean of its divisors is an integer number (9271519794).

Almost surely, 2102312032331 is an apocalyptic number.

102312032331 is a deficient number, since it is larger than the sum of its proper divisors (46032284373).

102312032331 is a wasteful number, since it uses less digits than its factorization.

102312032331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54219470.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102312032331 its reverse (133230213201), we get a palindrome (235542245532).

The spelling of 102312032331 in words is "one hundred two billion, three hundred twelve million, thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 17 37 51 111 629 1887 54219413 162658239 921730021 2006118281 2765190063 6018354843 34104010777 102312032331