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102111132 = 2238509261
BaseRepresentation
bin1100001011000…
…01011110011100
321010010210010210
412011201132130
5202120024012
614044332420
72346634044
oct605413634
9233123123
10102111132
1152703672
122a244110
13182026b6
14d7c0724
158e7023c
hex616179c

102111132 has 12 divisors (see below), whose sum is σ = 238259336. Its totient is φ = 34037040.

The previous prime is 102111103. The next prime is 102111151. The reversal of 102111132 is 231111201.

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

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8509261 = 102111132 / (1 + 0 + 2 + 1 + 1 + 1 + 1 + 3 + 2).

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 3 ways as a sum of consecutive naturals, for example, 4254619 + ... + 4254642.

Almost surely, 2102111132 is an apocalyptic number.

102111132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102111132 is an abundant number, since it is smaller than the sum of its proper divisors (136148204).

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

102111132 is a wasteful number, since it uses less digits than its factorization.

102111132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509268 (or 8509266 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 102111132 is about 10105.0052944073. The cubic root of 102111132 is about 467.4024992318.

Adding to 102111132 its reverse (231111201), we get a palindrome (333222333).

The spelling of 102111132 in words is "one hundred two million, one hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 8509261 17018522 25527783 34037044 51055566 102111132