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102132966 = 23131309397
BaseRepresentation
bin1100001011001…
…10110011100110
321010011220002110
412011212303212
5202121223331
614045021450
72350054515
oct605466346
9233156073
10102132966
1152719011
122a254886
131820c610
14d7c867c
158e76946
hex6166ce6

102132966 has 16 divisors (see below), whose sum is σ = 219978864. Its totient is φ = 31425504.

The previous prime is 102132959. The next prime is 102132967. The reversal of 102132966 is 669231201.

It is a super-2 number, since 2×1021329662 = 20862285487914312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132967) 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, 654621 + ... + 654776.

It is an arithmetic number, because the mean of its divisors is an integer number (13748679).

Almost surely, 2102132966 is an apocalyptic number.

102132966 is an abundant number, since it is smaller than the sum of its proper divisors (117845898).

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

102132966 is a wasteful number, since it uses less digits than its factorization.

102132966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309415.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 102132966 is about 10106.0855923547. The cubic root of 102132966 is about 467.4358111038.

The spelling of 102132966 in words is "one hundred two million, one hundred thirty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 78 1309397 2618794 3928191 7856382 17022161 34044322 51066483 102132966