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313114636377 = 32121328681381
BaseRepresentation
bin1001000111001110001…
…01100011000001011001
31002221012111102120202100
410203213011203001121
520112224321331002
6355502021154013
731423162331664
oct4434705430131
91087174376670
10313114636377
1111087805a764
125082555b909
13236acb9a08a
1411224bcc6db
158228c0711c
hex48e7163059

313114636377 has 12 divisors (see below), whose sum is σ = 452649570724. Its totient is φ = 208570995360.

The previous prime is 313114636369. The next prime is 313114636411. The reversal of 313114636377 is 773636411313.

313114636377 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 4 + 6 + 3 + 637 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131185942416 + 181928693961 = 362196^2 + 426531^2 .

It is not a de Polignac number, because 313114636377 - 23 = 313114636369 is a prime.

It is a super-2 number, since 2×3131146363772 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313114631377) 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, 14329774 + ... + 14351607.

Almost surely, 2313114636377 is an apocalyptic number.

It is an amenable number.

313114636377 is a deficient number, since it is larger than the sum of its proper divisors (139534934347).

313114636377 is a wasteful number, since it uses less digits than its factorization.

313114636377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28682600 (or 28682597 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The spelling of 313114636377 in words is "three hundred thirteen billion, one hundred fourteen million, six hundred thirty-six thousand, three hundred seventy-seven".

Divisors: 1 3 9 1213 3639 10917 28681381 86044143 258132429 34790515153 104371545459 313114636377