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313144013 = 71317319891
BaseRepresentation
bin10010101010100…
…011001011001101
3210211020100211102
4102222203023031
51120131102023
651023432445
710521452210
oct2252431315
9724210742
10313144013
11150841806
1288a55725
134cb50720
142d835777
151c758628
hex12aa32cd

313144013 has 16 divisors (see below), whose sum is σ = 387655296. Its totient is φ = 246317760.

The previous prime is 313143983. The next prime is 313144021. The reversal of 313144013 is 310441313.

It is not a de Polignac number, because 313144013 - 220 = 312095437 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313144213) 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, 5798 + ... + 25688.

It is an arithmetic number, because the mean of its divisors is an integer number (24228456).

Almost surely, 2313144013 is an apocalyptic number.

It is an amenable number.

313144013 is a deficient number, since it is larger than the sum of its proper divisors (74511283).

313144013 is a wasteful number, since it uses less digits than its factorization.

313144013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20084.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 313144013 is about 17695.8755929171. The cubic root of 313144013 is about 679.0702496792.

Adding to 313144013 its reverse (310441313), we get a palindrome (623585326).

The spelling of 313144013 in words is "three hundred thirteen million, one hundred forty-four thousand, thirteen".

Divisors: 1 7 13 91 173 1211 2249 15743 19891 139237 258583 1810081 3441143 24088001 44734859 313144013