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123342132 = 22327493739
BaseRepresentation
bin1110101101000…
…00110100110100
322121002102121010
413112200310310
5223033422012
620123352220
73025251024
oct726406464
9277072533
10123342132
1163694851
1235382670
131c727214
1412549a84
15ac65c3c
hex75a0d34

123342132 has 24 divisors (see below), whose sum is σ = 287980000. Its totient is φ = 41088096.

The previous prime is 123342101. The next prime is 123342137. The reversal of 123342132 is 231243321.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123342099 and 123342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123342137) 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, 31119 + ... + 34857.

Almost surely, 2123342132 is an apocalyptic number.

123342132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123342132 is an abundant number, since it is smaller than the sum of its proper divisors (164637868).

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

123342132 is a wasteful number, since it uses less digits than its factorization.

123342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6495 (or 6493 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 123342132 is about 11105.9502970255. The cubic root of 123342132 is about 497.7796641454.

Adding to 123342132 its reverse (231243321), we get a palindrome (354585453).

It can be divided in two parts, 1233 and 42132, that added together give a triangular number (43365 = T294).

The spelling of 123342132 in words is "one hundred twenty-three million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 2749 3739 5498 7478 8247 10996 11217 14956 16494 22434 32988 44868 10278511 20557022 30835533 41114044 61671066 123342132