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31312422421313 = 1131711637934441
BaseRepresentation
bin1110001111010011111011…
…10100001100001101000001
311002212102211120000121011112
413013221331310030031001
513101010320114440223
6150332421150253105
76411151006041425
oct707517564141501
9132772746017145
1031312422421313
119a82584164240
123618682ab7195
131461997060037
147a375a6b2b85
153947945b1778
hex1c7a7dd0c341

31312422421313 has 32 divisors (see below), whose sum is σ = 35976918196224. Its totient is φ = 26992964880000.

The previous prime is 31312422421283. The next prime is 31312422421363.

31312422421313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31312422421313 - 224 = 31312405644097 is a prime.

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 31312422421313.

It is not an unprimeable number, because it can be changed into a prime (31312422421363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20828 + ... + 7913613.

It is an arithmetic number, because the mean of its divisors is an integer number (1124278693632).

Almost surely, 231312422421313 is an apocalyptic number.

It is an amenable number.

31312422421313 is a deficient number, since it is larger than the sum of its proper divisors (4664495774911).

31312422421313 is a wasteful number, since it uses less digits than its factorization.

31312422421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7934717.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 3131242 and 2421313, that added together give a palindrome (5552555).

The spelling of 31312422421313 in words is "thirty-one trillion, three hundred twelve billion, four hundred twenty-two million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 11 31 71 163 341 781 1793 2201 5053 11573 24211 55583 127303 358763 3946393 7934441 87278851 245967671 563345311 1293313883 2705644381 6196798421 14226452713 17463704641 40092730373 91825285693 192100751051 441020034103 1010078142623 2846583856483 31312422421313