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132312033 = 3272100191
BaseRepresentation
bin1111110001011…
…10101111100001
3100012222010222200
413320232233201
5232332441113
621043523413
73164430240
oct770565741
9305863880
10132312033
1168760a97
1238389569
1321547c59
1413802957
15b938873
hex7e2ebe1

132312033 has 12 divisors (see below), whose sum is σ = 218419968. Its totient is φ = 75606840.

The previous prime is 132312023. The next prime is 132312053. The reversal of 132312033 is 330213231.

It is not a de Polignac number, because 132312033 - 24 = 132312017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132311997 and 132312015.

It is not an unprimeable number, because it can be changed into a prime (132312013) 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 11 ways as a sum of consecutive naturals, for example, 1050033 + ... + 1050158.

It is an arithmetic number, because the mean of its divisors is an integer number (18201664).

Almost surely, 2132312033 is an apocalyptic number.

It is an amenable number.

132312033 is a deficient number, since it is larger than the sum of its proper divisors (86107935).

132312033 is a wasteful number, since it uses less digits than its factorization.

132312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100204 (or 2100201 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 132312033 is about 11502.6967707577. The cubic root of 132312033 is about 509.5652234593.

Adding to 132312033 its reverse (330213231), we get a palindrome (462525264).

The spelling of 132312033 in words is "one hundred thirty-two million, three hundred twelve thousand, thirty-three".

Divisors: 1 3 7 9 21 63 2100191 6300573 14701337 18901719 44104011 132312033