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313212424212313 = 191011575849177739
BaseRepresentation
bin100011100110111010111001…
…1010010001100111101011001
31112001222211000101002011212121
41013031311303102030331121
5312023133021044243223
63030051445024541241
7122654564566326013
oct10715656322147531
91461884011064777
10313212424212313
1190887709044a7a
122b1667bb181821
131059ca603b2002
14574b7c2a251b3
15263259208315d
hex11cdd7348cf59

313212424212313 has 32 divisors (see below), whose sum is σ = 335141567280000. Its totient is φ = 291866840179200.

The previous prime is 313212424212299. The next prime is 313212424212361.

313212424212313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313212424212313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313212424212113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762115398 + ... + 1762293136.

It is an arithmetic number, because the mean of its divisors is an integer number (10473173977500).

Almost surely, 2313212424212313 is an apocalyptic number.

It is an amenable number.

313212424212313 is a deficient number, since it is larger than the sum of its proper divisors (21929143067687).

313212424212313 is a wasteful number, since it uses less digits than its factorization.

313212424212313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183865.

The product of its digits is 41472, while the sum is 34.

The spelling of 313212424212313 in words is "three hundred thirteen trillion, two hundred twelve billion, four hundred twenty-four million, two hundred twelve thousand, three hundred thirteen".

Divisors: 1 19 101 157 1919 2983 5849 15857 111131 177739 301283 590749 918293 3377041 11224231 17447567 17951639 27905023 92747593 341081141 530195437 1039595411 1762204267 2818407323 19752312809 53549739137 104999136511 163216479527 1994983593709 3101113111013 16484864432227 313212424212313