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102312132 = 22313655847
BaseRepresentation
bin1100001100100…
…10100011000100
321010111222212020
412012102203010
5202142442012
614052523140
72351432046
oct606224304
9233458766
10102312132
115283068a
122a3204b0
1318273030
14d833a96
158eaea8c
hex61928c4

102312132 has 24 divisors (see below), whose sum is σ = 257092416. Its totient is φ = 31480608.

The previous prime is 102312083. The next prime is 102312139. The reversal of 102312132 is 231213201.

It is not an unprimeable number, because it can be changed into a prime (102312139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327768 + ... + 328079.

It is an arithmetic number, because the mean of its divisors is an integer number (10712184).

Almost surely, 2102312132 is an apocalyptic number.

102312132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102312132 is an abundant number, since it is smaller than the sum of its proper divisors (154780284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102312132 is a wasteful number, since it uses less digits than its factorization.

102312132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655867 (or 655865 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 102312132 is about 10114.9459711854. The cubic root of 102312132 is about 467.7089833670.

Adding to 102312132 its reverse (231213201), we get a palindrome (333525333).

The spelling of 102312132 in words is "one hundred two million, three hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 655847 1311694 1967541 2623388 3935082 7870164 8526011 17052022 25578033 34104044 51156066 102312132