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131017467393 = 3297714900201
BaseRepresentation
bin111101000000100111…
…1111110011000000001
3110112011211110221111100
41322001033332120001
54121310432424033
6140104423005013
712315510045411
oct1720117763001
9415154427440
10131017467393
1150622a4347a
1221485599769
13c47c919447
1464ac682641
15361c345513
hex1e813fe601

131017467393 has 12 divisors (see below), whose sum is σ = 189441168228. Its totient is φ = 87255571200.

The previous prime is 131017467389. The next prime is 131017467403. The reversal of 131017467393 is 393764710131.

131017467393 is a `hidden beast` number, since 1 + 31 + 0 + 174 + 67 + 393 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71143292529 + 59874174864 = 266727^2 + 244692^2 .

It is not a de Polignac number, because 131017467393 - 22 = 131017467389 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131017467353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7441308 + ... + 7458893.

It is an arithmetic number, because the mean of its divisors is an integer number (15786764019).

Almost surely, 2131017467393 is an apocalyptic number.

It is an amenable number.

131017467393 is a deficient number, since it is larger than the sum of its proper divisors (58423700835).

131017467393 is a wasteful number, since it uses less digits than its factorization.

131017467393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14901184 (or 14901181 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 131017467393 in words is "one hundred thirty-one billion, seventeen million, four hundred sixty-seven thousand, three hundred ninety-three".

Divisors: 1 3 9 977 2931 8793 14900201 44700603 134101809 14557496377 43672489131 131017467393