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102132132 = 2238511011
BaseRepresentation
bin1100001011001…
…10100110100100
321010011211221120
412011212212210
5202121212012
614045013540
72350052214
oct605464644
9233154846
10102132132
1152718423
122a2542b0
131820c11b
14d7c8244
158e7658c
hex61669a4

102132132 has 12 divisors (see below), whose sum is σ = 238308336. Its totient is φ = 34044040.

The previous prime is 102132119. The next prime is 102132157. The reversal of 102132132 is 231231201.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4255494 + ... + 4255517.

It is an arithmetic number, because the mean of its divisors is an integer number (19859028).

Almost surely, 2102132132 is an apocalyptic number.

102132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102132132 is an abundant number, since it is smaller than the sum of its proper divisors (136176204).

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

102132132 is a wasteful number, since it uses less digits than its factorization.

102132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8511018 (or 8511016 counting only the distinct ones).

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

The square root of 102132132 is about 10106.0443300037. The cubic root of 102132132 is about 467.4345387672.

Adding to 102132132 its reverse (231231201), we get a palindrome (333363333).

It can be divided in two parts, 1021 and 32132, that added together give a triangular number (33153 = T257).

The spelling of 102132132 in words is "one hundred two million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8511011 17022022 25533033 34044044 51066066 102132132