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132956681 = 11131277321
BaseRepresentation
bin1111110110011…
…00001000001001
3100021011220021112
413323030020021
5233014103211
621105420105
73203053544
oct773141011
9307156245
10132956681
1169061360
123863a635
13217124c0
141392d85b
15ba1488b
hex7ecc209

132956681 has 16 divisors (see below), whose sum is σ = 157452288. Its totient is φ = 110678400.

The previous prime is 132956653. The next prime is 132956687. The reversal of 132956681 is 186659231.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132956681 is a prime.

It is a super-2 number, since 2×1329566812 = 35354958045071522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132956687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14501 + ... + 21821.

It is an arithmetic number, because the mean of its divisors is an integer number (9840768).

Almost surely, 2132956681 is an apocalyptic number.

132956681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132956681 is a deficient number, since it is larger than the sum of its proper divisors (24495607).

132956681 is a wasteful number, since it uses less digits than its factorization.

132956681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7472.

The product of its digits is 77760, while the sum is 41.

The square root of 132956681 is about 11530.6843248786. The cubic root of 132956681 is about 510.3914475155.

The spelling of 132956681 in words is "one hundred thirty-two million, nine hundred fifty-six thousand, six hundred eighty-one".

Divisors: 1 11 13 127 143 1397 1651 7321 18161 80531 95173 929767 1046903 10227437 12086971 132956681