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131713774241 = 7217158119777
BaseRepresentation
bin111101010101011000…
…0001011001010100001
3110120222100200222220212
41322222300023022201
54124222211233431
6140301455143505
712341663415500
oct1725260131241
9416870628825
10131713774241
115094aaa0085
122163a814b95
13c560c6482a
146536d38837
15365d53872b
hex1eaac0b2a1

131713774241 has 12 divisors (see below), whose sum is σ = 162230892228. Its totient is φ = 106256489472.

The previous prime is 131713774223. The next prime is 131713774253. The reversal of 131713774241 is 142477317131.

It can be written as a sum of positive squares in 2 ways, for example, as 120839664400 + 10874109841 = 347620^2 + 104279^2 .

It is not a de Polignac number, because 131713774241 - 226 = 131646665377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131713774201) 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 11 ways as a sum of consecutive naturals, for example, 79059056 + ... + 79060721.

It is an arithmetic number, because the mean of its divisors is an integer number (13519241019).

Almost surely, 2131713774241 is an apocalyptic number.

It is an amenable number.

131713774241 is a deficient number, since it is larger than the sum of its proper divisors (30517117987).

131713774241 is a wasteful number, since it uses less digits than its factorization.

131713774241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158119808 (or 158119801 counting only the distinct ones).

The product of its digits is 98784, while the sum is 41.

The spelling of 131713774241 in words is "one hundred thirty-one billion, seven hundred thirteen million, seven hundred seventy-four thousand, two hundred forty-one".

Divisors: 1 7 17 49 119 833 158119777 1106838439 2688036209 7747869073 18816253463 131713774241