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31311433411313 = 112478816249479
BaseRepresentation
bin1110001111010010000101…
…10111011010101011110001
311002212100021122000200111112
413013221002313122223301
513101001303423130223
6150332135100323105
76411114336432356
oct707510267325361
9132770248020445
1031311433411313
119a82116967400
123618447843495
13146186a1a0213
147a36a51c662d
15394737851778
hex1c7a42ddaaf1

31311433411313 has 24 divisors (see below), whose sum is σ = 35188872042240. Its totient is φ = 27827675638400.

The previous prime is 31311433411229. The next prime is 31311433411319.

31311433411313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31311433411313 - 28 = 31311433411057 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 31311433411313.

It is not an unprimeable number, because it can be changed into a prime (31311433411319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885508 + ... + 8134986.

It is an arithmetic number, because the mean of its divisors is an integer number (1466203001760).

Almost surely, 231311433411313 is an apocalyptic number.

It is an amenable number.

31311433411313 is a deficient number, since it is larger than the sum of its proper divisors (3877438630927).

31311433411313 is a wasteful number, since it uses less digits than its factorization.

31311433411313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6250429 (or 6250418 counting only the distinct ones).

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 3131143 and 3411313, that added together give a palindrome (6542456).

The spelling of 31311433411313 in words is "thirty-one trillion, three hundred eleven billion, four hundred thirty-three million, four hundred eleven thousand, three hundred thirteen".

Divisors: 1 11 47 121 517 881 5687 9691 41407 106601 455477 5010247 6249479 68744269 293725513 756186959 3230980643 5505790999 35540787073 60563700989 258772176953 666200710879 2846493946483 31311433411313