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313859958313 = 1121728975377
BaseRepresentation
bin1001001000100111000…
…00101110011000101001
31010000010102212212020111
410210103200232120221
520120241122131223
6400104004054321
731450512425146
oct4442340563051
91100112785214
10313859958313
1111111a845100
12509b30943a1
132379b417485
1411295ba33cd
15826e37d30d
hex491382e629

313859958313 has 18 divisors (see below), whose sum is σ = 366473659118. Its totient is φ = 268543249920.

The previous prime is 313859958311. The next prime is 313859958341.

313859958313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 158712201769 + 155147756544 = 398387^2 + 393888^2 .

It is not a de Polignac number, because 313859958313 - 21 = 313859958311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313859958311) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4452720 + ... + 4522657.

Almost surely, 2313859958313 is an apocalyptic number.

It is an amenable number.

313859958313 is a deficient number, since it is larger than the sum of its proper divisors (52613700805).

313859958313 is a wasteful number, since it uses less digits than its factorization.

313859958313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975433 (or 8975405 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 58.

The spelling of 313859958313 in words is "three hundred thirteen billion, eight hundred fifty-nine million, nine hundred fifty-eight thousand, three hundred thirteen".

Divisors: 1 11 17 121 187 289 2057 3179 34969 8975377 98729147 152581409 1086020617 1678395499 2593883953 18462350489 28532723483 313859958313