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132032013 = 31741233271
BaseRepresentation
bin1111101111010…
…10011000001101
3100012102220212120
413313222120031
5232300011023
621033523153
73162152661
oct767523015
9305386776
10132032013
116858a673
12382734b9
132147a669
141376c8a1
15b8d08e3
hex7dea60d

132032013 has 32 divisors (see below), whose sum is σ = 192471552. Its totient is φ = 80179200.

The previous prime is 132031993. The next prime is 132032023. The reversal of 132032013 is 310230231.

It is not a de Polignac number, because 132032013 - 25 = 132031981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132031983 and 132032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 487068 + ... + 487338.

It is an arithmetic number, because the mean of its divisors is an integer number (6014736).

Almost surely, 2132032013 is an apocalyptic number.

It is an amenable number.

132032013 is a deficient number, since it is larger than the sum of its proper divisors (60439539).

132032013 is a wasteful number, since it uses less digits than its factorization.

132032013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 132032013 is about 11490.5183956164. The cubic root of 132032013 is about 509.2054949468.

Adding to 132032013 its reverse (310230231), we get a palindrome (442262244).

It can be divided in two parts, 1320 and 32013, that added together give a palindrome (33333).

The spelling of 132032013 in words is "one hundred thirty-two million, thirty-two thousand, thirteen".

Divisors: 1 3 17 41 51 123 233 271 697 699 813 2091 3961 4607 9553 11111 11883 13821 28659 33333 63143 162401 188887 189429 487203 566661 1073431 2588863 3220293 7766589 44010671 132032013