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123132132 = 22323420337
BaseRepresentation
bin1110101011011…
…01100011100100
322120200202112100
413111231203210
5223010212012
620115052100
73023414544
oct725554344
9276622470
10123132132
1163560aa2
12352a1030
131c682766
14124d3324
15ac238dc
hex756d8e4

123132132 has 18 divisors (see below), whose sum is σ = 311250758. Its totient is φ = 41044032.

The previous prime is 123132109. The next prime is 123132137. The reversal of 123132132 is 231231321.

It can be written as a sum of positive squares in only one way, i.e., 121749156 + 1382976 = 11034^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is not an unprimeable number, because it can be changed into a prime (123132137) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1710133 + ... + 1710204.

Almost surely, 2123132132 is an apocalyptic number.

123132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123132132 is an abundant number, since it is smaller than the sum of its proper divisors (188118626).

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

123132132 is a wasteful number, since it uses less digits than its factorization.

123132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420347 (or 3420342 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 123132132 is about 11096.4918780667. The cubic root of 123132132 is about 497.4970002260.

Adding to 123132132 its reverse (231231321), we get a palindrome (354363453).

The spelling of 123132132 in words is "one hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3420337 6840674 10261011 13681348 20522022 30783033 41044044 61566066 123132132