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132116037 = 3971912377
BaseRepresentation
bin1111101111111…
…10111001000101
3100012121012010120
413313332321011
5232310203122
621035412153
73162652644
oct767767105
9305535116
10132116037
1168637809
12382b4059
13214a9991
141379135b
15b8ea75c
hex7dfee45

132116037 has 16 divisors (see below), whose sum is σ = 178977792. Its totient is φ = 86676480.

The previous prime is 132116009. The next prime is 132116059. The reversal of 132116037 is 730611231.

It is not a de Polignac number, because 132116037 - 218 = 131853893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132115998 and 132116016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132116077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54393 + ... + 56769.

It is an arithmetic number, because the mean of its divisors is an integer number (11186112).

Almost surely, 2132116037 is an apocalyptic number.

It is an amenable number.

132116037 is a deficient number, since it is larger than the sum of its proper divisors (46861755).

132116037 is a wasteful number, since it uses less digits than its factorization.

132116037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668.

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 132116037 is about 11494.1740460113. The cubic root of 132116037 is about 509.3134899919.

Adding to 132116037 its reverse (730611231), we get a palindrome (862727268).

The spelling of 132116037 in words is "one hundred thirty-two million, one hundred sixteen thousand, thirty-seven".

Divisors: 1 3 97 191 291 573 2377 7131 18527 55581 230569 454007 691707 1362021 44038679 132116037