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31312433421313 = 1113159337019901
BaseRepresentation
bin1110001111010011111100…
…11110001001110000000001
311002212102212022201110022221
413013221332132021300001
513101010330423440223
6150332422222131041
76411151201404412
oct707517636116001
9132772768643287
1031312433421313
119a8258a397750
123618686720a81
131461999411b05
147a375bd37809
15394795535b5d
hex1c7a7e789c01

31312433421313 has 32 divisors (see below), whose sum is σ = 34490616614784. Its totient is φ = 28190448000000.

The previous prime is 31312433421277. The next prime is 31312433421341.

31312433421313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-31312433421313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31312433422313) 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, 3162547663 + ... + 3162557563.

It is an arithmetic number, because the mean of its divisors is an integer number (1077831769212).

Almost surely, 231312433421313 is an apocalyptic number.

It is an amenable number.

31312433421313 is a deficient number, since it is larger than the sum of its proper divisors (3178183193471).

31312433421313 is a wasteful number, since it uses less digits than its factorization.

31312433421313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14337.

The product of its digits is 46656, while the sum is 34.

It can be divided in two parts, 3131243 and 3421313, that added together give a palindrome (6552556).

The spelling of 31312433421313 in words is "thirty-one trillion, three hundred twelve billion, four hundred thirty-three million, four hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 11 131 593 1441 3701 6523 9901 40711 77683 108911 484831 854513 1297031 2194693 5333141 5871293 14267341 24141623 36643601 64584223 287504783 403079611 769139383 3162552613 4800311731 8460533213 21729655393 52803429041 239026209323 2846584856483 31312433421313