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102213132 = 22371216823
BaseRepresentation
bin1100001011110…
…10011000001100
321010022222001120
412011322120030
5202131310012
614050440540
72350540320
oct605723014
9233288046
10102213132
115277326a
122a293150
1318239c58
14d809980
158e9058c
hex617a60c

102213132 has 24 divisors (see below), whose sum is σ = 272568576. Its totient is φ = 29203728.

The previous prime is 102213113. The next prime is 102213151. The reversal of 102213132 is 231312201.

It is an interprime number because it is at equal distance from previous prime (102213113) and next prime (102213151).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608328 + ... + 608495.

It is an arithmetic number, because the mean of its divisors is an integer number (11357024).

Almost surely, 2102213132 is an apocalyptic number.

102213132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102213132 is an abundant number, since it is smaller than the sum of its proper divisors (170355444).

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

102213132 is a wasteful number, since it uses less digits than its factorization.

102213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216837 (or 1216835 counting only the distinct ones).

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

The square root of 102213132 is about 10110.0510384468. The cubic root of 102213132 is about 467.5580787082.

Adding to 102213132 its reverse (231312201), we get a palindrome (333525333).

The spelling of 102213132 in words is "one hundred two million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1216823 2433646 3650469 4867292 7300938 8517761 14601876 17035522 25553283 34071044 51106566 102213132