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132788131 = 7192383523
BaseRepresentation
bin1111110101000…
…10111110100011
3100020212100001221
413322202332203
5232443210011
621102035511
73201452260
oct772427643
9306770057
10132788131
1168a56763
1238578b97
1321683878
14138c8267
15b9ce971
hex7ea2fa3

132788131 has 32 divisors (see below), whose sum is σ = 169021440. Its totient is φ = 101702304.

The previous prime is 132788119. The next prime is 132788141. The reversal of 132788131 is 131887231.

It is a cyclic number.

It is not a de Polignac number, because 132788131 - 29 = 132787619 is a prime.

It is a super-2 number, since 2×1327881312 = 35265375468946322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132788141) 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 31 ways as a sum of consecutive naturals, for example, 253636 + ... + 254158.

It is an arithmetic number, because the mean of its divisors is an integer number (5281920).

Almost surely, 2132788131 is an apocalyptic number.

132788131 is a deficient number, since it is larger than the sum of its proper divisors (36233309).

132788131 is a wasteful number, since it uses less digits than its factorization.

132788131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655.

The product of its digits is 8064, while the sum is 34.

The square root of 132788131 is about 11523.3732474480. The cubic root of 132788131 is about 510.1756808574.

The spelling of 132788131 in words is "one hundred thirty-two million, seven hundred eighty-eight thousand, one hundred thirty-one".

Divisors: 1 7 19 23 83 133 161 437 523 581 1577 1909 3059 3661 9937 11039 12029 13363 36271 43409 69559 84203 228551 253897 303863 824771 998407 1599857 5773397 6988849 18969733 132788131