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102332112 = 24317125407
BaseRepresentation
bin1100001100101…
…11011011010000
321010120000021020
412012113123100
5202144111422
614053155440
72351544231
oct606273320
9233500236
10102332112
11528446a3
122a32bb80
131827c15c
14d83b088
158eb595c
hex61976d0

102332112 has 40 divisors (see below), whose sum is σ = 279910656. Its totient is φ = 32103936.

The previous prime is 102332101. The next prime is 102332161. The reversal of 102332112 is 211233201.

It is a super-2 number, since 2×1023321122 = 20943722292761088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102332091 and 102332100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61888 + ... + 63519.

Almost surely, 2102332112 is an apocalyptic number.

102332112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102332112 is an abundant number, since it is smaller than the sum of its proper divisors (177578544).

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

102332112 is a wasteful number, since it uses less digits than its factorization.

102332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125435 (or 125429 counting only the distinct ones).

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

The square root of 102332112 is about 10115.9335703631. The cubic root of 102332112 is about 467.7394268640.

Adding to 102332112 its reverse (211233201), we get a palindrome (313565313).

The spelling of 102332112 in words is "one hundred two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 125407 250814 376221 501628 752442 1003256 1504884 2006512 2131919 3009768 4263838 6019536 6395757 8527676 12791514 17055352 25583028 34110704 51166056 102332112