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102123132 = 22333725253
BaseRepresentation
bin1100001011001…
…00011001111100
321010011101121020
412011210121330
5202120420012
614044504140
72350014036
oct605443174
9233141536
10102123132
1152711691
122a24b050
1318207cb7
14d7c4c56
158e73a8c
hex616467c

102123132 has 24 divisors (see below), whose sum is σ = 239003856. Its totient is φ = 33938688.

The previous prime is 102123107. The next prime is 102123137. The reversal of 102123132 is 231321201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123137) by changing a digit.

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, 8583 + ... + 16670.

It is an arithmetic number, because the mean of its divisors is an integer number (9958494).

Almost surely, 2102123132 is an apocalyptic number.

102123132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102123132 is an abundant number, since it is smaller than the sum of its proper divisors (136880724).

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

102123132 is a wasteful number, since it uses less digits than its factorization.

102123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25597 (or 25595 counting only the distinct ones).

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

The square root of 102123132 is about 10105.5990421152. The cubic root of 102123132 is about 467.4208080756.

Adding to 102123132 its reverse (231321201), we get a palindrome (333444333).

The spelling of 102123132 in words is "one hundred two million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 337 674 1011 1348 2022 4044 25253 50506 75759 101012 151518 303036 8510261 17020522 25530783 34041044 51061566 102123132