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131320277757 = 341795366941
BaseRepresentation
bin111101001001101001…
…1000110101011111101
3110112221221021022020000
41322103103012223331
54122420442342012
6140154441144513
712326144641434
oct1722323065375
9415857238200
10131320277757
1150768967379
122154aa8b139
13c4ca58c486
1464da98811b
153638c0bddc
hex1e934c6afd

131320277757 has 20 divisors (see below), whose sum is σ = 207709199676. Its totient is φ = 82397036160.

The previous prime is 131320277749. The next prime is 131320277797. The reversal of 131320277757 is 757772023131.

131320277757 is a `hidden beast` number, since 1 + 3 + 1 + 320 + 277 + 7 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48655977561 + 82664300196 = 220581^2 + 287514^2 .

It is not a de Polignac number, because 131320277757 - 23 = 131320277749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320277747) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47682094 + ... + 47684847.

Almost surely, 2131320277757 is an apocalyptic number.

131320277757 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

131320277757 is a deficient number, since it is larger than the sum of its proper divisors (76388921919).

131320277757 is an equidigital number, since it uses as much as digits as its factorization.

131320277757 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95366970 (or 95366961 counting only the distinct ones).

The product of its (nonzero) digits is 432180, while the sum is 45.

The spelling of 131320277757 in words is "one hundred thirty-one billion, three hundred twenty million, two hundred seventy-seven thousand, seven hundred fifty-seven".

Divisors: 1 3 9 17 27 51 81 153 459 1377 95366941 286100823 858302469 1621237997 2574907407 4863713991 7724722221 14591141973 43773425919 131320277757