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132107017 = 7176131811
BaseRepresentation
bin1111101111111…
…00101100001001
3100012120201202111
413313330230021
5232304411032
621035302321
73162614440
oct767745411
9305521674
10132107017
1168630a59
12382aa9a1
13214a5843
141378bd57
15b8e7c47
hex7dfcb09

132107017 has 16 divisors (see below), whose sum is σ = 160209792. Its totient is φ = 106341120.

The previous prime is 132106999. The next prime is 132107069. The reversal of 132107017 is 710701231.

It is not a de Polignac number, because 132107017 - 211 = 132104969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132107917) 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, 72042 + ... + 73852.

It is an arithmetic number, because the mean of its divisors is an integer number (10013112).

Almost surely, 2132107017 is an apocalyptic number.

132107017 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132107017 is a deficient number, since it is larger than the sum of its proper divisors (28102775).

132107017 is a wasteful number, since it uses less digits than its factorization.

132107017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448.

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 132107017 is about 11493.7816666230. The cubic root of 132107017 is about 509.3018988878.

Adding to 132107017 its reverse (710701231), we get a palindrome (842808248).

The spelling of 132107017 in words is "one hundred thirty-two million, one hundred seven thousand, seventeen".

Divisors: 1 7 17 119 613 1811 4291 10421 12677 30787 72947 215509 1110143 7771001 18872431 132107017