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313034121430313 = 13944933563149441
BaseRepresentation
bin100011100101100111110111…
…1100111000100010100101001
31112001100202210010221101000212
41013023033233213010110221
5312012222340041232223
63025433520133310505
7122635653226563233
oct10713175747042451
91461322703841025
10313034121430313
11908190308458a8
122b138139a95435
1310588cb628198a
145742d0a3c9253
15262cb0887e278
hex11cb3ef9c4529

313034121430313 has 16 divisors (see below), whose sum is σ = 315999891144000. Its totient is φ = 310078598430720.

The previous prime is 313034121430291. The next prime is 313034121430391.

It is a happy number.

313034121430313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313034121430313 - 28 = 313034121430057 is a prime.

It is a super-2 number, since 2×3130341214303132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313034121430313.

It is not an unprimeable number, because it can be changed into a prime (313034121430813) 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, 2094625673 + ... + 2094775113.

It is an arithmetic number, because the mean of its divisors is an integer number (19749993196500).

Almost surely, 2313034121430313 is an apocalyptic number.

It is an amenable number.

313034121430313 is a deficient number, since it is larger than the sum of its proper divisors (2965769713687).

313034121430313 is a wasteful number, since it uses less digits than its factorization.

313034121430313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183592.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 313034121430313 in words is "three hundred thirteen trillion, thirty-four billion, one hundred twenty-one million, four hundred thirty thousand, three hundred thirteen".

Divisors: 1 139 449 33563 62411 149441 4665257 15069787 20772299 67099009 2094700393 5015688283 9326762251 697180671337 2252044039067 313034121430313