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131366460561 = 3759643164893
BaseRepresentation
bin111101001011000001…
…1010001110010010001
3110120002011011122010020
41322112003101302101
54123014303214221
6140203211054053
712330245330250
oct1722603216221
9416064148106
10131366460561
1150791a40186
1221562441329
13c50700c28b
146502b6a797
15363ccd0ac6
hex1e960d1c91

131366460561 has 32 divisors (see below), whose sum is σ = 203888133120. Its totient is φ = 73679022144.

The previous prime is 131366460527. The next prime is 131366460707. The reversal of 131366460561 is 165064663131.

It is not a de Polignac number, because 131366460561 - 214 = 131366444177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131366462561) 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, 714231 + ... + 879123.

It is an arithmetic number, because the mean of its divisors is an integer number (6371504160).

Almost surely, 2131366460561 is an apocalyptic number.

It is an amenable number.

131366460561 is a deficient number, since it is larger than the sum of its proper divisors (72521672559).

131366460561 is a wasteful number, since it uses less digits than its factorization.

131366460561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165605.

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 131366460561 in words is "one hundred thirty-one billion, three hundred sixty-six million, four hundred sixty thousand, five hundred sixty-one".

Divisors: 1 3 7 21 59 177 413 643 1239 1929 4501 13503 37937 113811 164893 265559 494679 796677 1154251 3462753 9728687 29186061 68100809 106026199 204302427 318078597 742183393 2226550179 6255545741 18766637223 43788820187 131366460561