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31364246313 = 323484916257
BaseRepresentation
bin11101001101011101…
…000110101100101001
32222221211100210111100
4131031131012230221
51003213221340223
622224124352013
72160143460231
oct351535065451
988854323440
1031364246313
1112335332524
1260b39a5609
132c5ac05a3a
1417376d0cc1
15c387aa043
hex74d746b29

31364246313 has 6 divisors (see below), whose sum is σ = 45303911354. Its totient is φ = 20909497536.

The previous prime is 31364246273. The next prime is 31364246411.

31364246313 is a `hidden beast` number, since 3 + 1 + 3 + 642 + 4 + 6 + 3 + 1 + 3 = 666.

31364246313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 31354493184 + 9753129 = 177072^2 + 3123^2 .

It is not a de Polignac number, because 31364246313 - 28 = 31364246057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31364246113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1742458120 + ... + 1742458137.

Almost surely, 231364246313 is an apocalyptic number.

It is an amenable number.

31364246313 is a deficient number, since it is larger than the sum of its proper divisors (13939665041).

31364246313 is a wasteful number, since it uses less digits than its factorization.

31364246313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484916263 (or 3484916260 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The spelling of 31364246313 in words is "thirty-one billion, three hundred sixty-four million, two hundred forty-six thousand, three hundred thirteen".

Divisors: 1 3 9 3484916257 10454748771 31364246313