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132414231 = 3375920219
BaseRepresentation
bin1111110010001…
…11101100010111
3100020011100011210
413321013230113
5232344223411
621050032503
73165334215
oct771075427
9306140153
10132414231
1168820854
1238418733
1321582621
141382bcb5
15b958ca6
hex7e47b17

132414231 has 16 divisors (see below), whose sum is σ = 184406400. Its totient is φ = 84430368.

The previous prime is 132414229. The next prime is 132414239.

132414231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 132414231 - 21 = 132414229 is a prime.

It is a super-2 number, since 2×1324142312 = 35067057142642722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132414198 and 132414207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132414239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3561 + ... + 16658.

It is an arithmetic number, because the mean of its divisors is an integer number (11525400).

Almost surely, 2132414231 is an apocalyptic number.

132414231 is a deficient number, since it is larger than the sum of its proper divisors (51992169).

132414231 is a wasteful number, since it uses less digits than its factorization.

132414231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20318.

The product of its digits is 576, while the sum is 21.

The square root of 132414231 is about 11507.1382628349. The cubic root of 132414231 is about 509.6963859930.

The spelling of 132414231 in words is "one hundred thirty-two million, four hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 3 37 59 111 177 2183 6549 20219 60657 748103 1192921 2244309 3578763 44138077 132414231