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313402210401 = 3719785469199
BaseRepresentation
bin1001000111110000011…
…10100011100001100001
31002221221112112212011010
410203320032203201201
520113321431213101
6355550333011133
731433253556140
oct4437016434141
91087845485133
10313402210401
11110a05417345
12508a5923aa9
1323727637017
1411251089757
1582440ae2d6
hex48f83a3861

313402210401 has 16 divisors (see below), whose sum is σ = 502700288000. Its totient is φ = 169661346768.

The previous prime is 313402210393. The next prime is 313402210487. The reversal of 313402210401 is 104012204313.

It is not a de Polignac number, because 313402210401 - 23 = 313402210393 is a prime.

It is a super-3 number, since 3×3134022104013 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313402210201) 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 15 ways as a sum of consecutive naturals, for example, 392734201 + ... + 392734998.

It is an arithmetic number, because the mean of its divisors is an integer number (31418768000).

Almost surely, 2313402210401 is an apocalyptic number.

It is an amenable number.

313402210401 is a deficient number, since it is larger than the sum of its proper divisors (189298077599).

313402210401 is a wasteful number, since it uses less digits than its factorization.

313402210401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785469228.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 313402210401 its reverse (104012204313), we get a palindrome (417414414714).

The spelling of 313402210401 in words is "three hundred thirteen billion, four hundred two million, two hundred ten thousand, four hundred one".

Divisors: 1 3 7 19 21 57 133 399 785469199 2356407597 5498284393 14923914781 16494853179 44771744343 104467403467 313402210401