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31364311346313 = 3111138410917497
BaseRepresentation
bin1110010000110100100101…
…01000101110110010001001
311010001101202210012002202120
413020122102220232302021
513102333102201040223
6150412322110121453
76414665605446231
oct710322250566211
9133041683162676
1031364311346313
119aa25910a8630
1236267444b0289
13146684625665a
147a607dc26cc1
15395ccebc7be3
hex1c8692a2ec89

31364311346313 has 16 divisors (see below), whose sum is σ = 46024540549056. Its totient is φ = 18840455191040.

The previous prime is 31364311346299. The next prime is 31364311346321.

31364311346313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31364311346313 - 24 = 31364311346297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31364311346213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205455020 + ... + 4205462477.

It is an arithmetic number, because the mean of its divisors is an integer number (2876533784316).

Almost surely, 231364311346313 is an apocalyptic number.

31364311346313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31364311346313 is a deficient number, since it is larger than the sum of its proper divisors (14660229202743).

31364311346313 is a wasteful number, since it uses less digits than its factorization.

31364311346313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410917624.

The product of its digits is 419904, while the sum is 42.

The spelling of 31364311346313 in words is "thirty-one trillion, three hundred sixty-four billion, three hundred eleven million, three hundred forty-six thousand, three hundred thirteen".

Divisors: 1 3 11 33 113 339 1243 3729 8410917497 25232752491 92520092467 277560277401 950433677161 2851301031483 10454770448771 31364311346313