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1311112220313 = 37535232252387
BaseRepresentation
bin10011000101000100011…
…000001100111010011001
311122100012122221201210110
4103011010120030322121
5132440124212022223
62442152221034533
7163503403664220
oct23050430147231
94570178851713
101311112220313
11466048738845
121921289b5a49
139683935392c
144765b30bcb7
152418977ed93
hex1314460ce99

1311112220313 has 32 divisors (see below), whose sum is σ = 2039474267136. Its totient is φ = 733665187008.

The previous prime is 1311112220287. The next prime is 1311112220389. The reversal of 1311112220313 is 3130222111131.

It is not a de Polignac number, because 1311112220313 - 28 = 1311112220057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1311112220313.

It is not an unprimeable number, because it can be changed into a prime (1311112220393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544095 + ... + 1708292.

It is an arithmetic number, because the mean of its divisors is an integer number (63733570848).

Almost surely, 21311112220313 is an apocalyptic number.

It is an amenable number.

1311112220313 is a deficient number, since it is larger than the sum of its proper divisors (728362046823).

1311112220313 is a wasteful number, since it uses less digits than its factorization.

1311112220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252973.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1311112220313 its reverse (3130222111131), we get a palindrome (4441334331444).

The spelling of 1311112220313 in words is "one trillion, three hundred eleven billion, one hundred twelve million, two hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 7 21 53 159 371 523 1113 1569 3661 10983 27719 83157 194033 582099 2252387 6757161 15766709 47300127 119376511 358129533 835635577 1177998401 2506906731 3533995203 8245988807 24737966421 62433915253 187301745759 437037406771 1311112220313