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11131312313 = 1110110519533
BaseRepresentation
bin10100101110111101…
…00101100010111001
31001201202112020212102
422113132211202321
5140244103443223
65040314353145
7542562410402
oct122736454271
931652466772
1011131312313
1147a2376770
1221a7a2b7b5
1310851b2544
147784d29a9
1545237b928
hex2977a58b9

11131312313 has 16 divisors (see below), whose sum is σ = 12276436032. Its totient is φ = 10008600000.

The previous prime is 11131312271. The next prime is 11131312331. The reversal of 11131312313 is 31321313111.

It is a cyclic number.

It is not a de Polignac number, because 11131312313 - 28 = 11131312057 is a prime.

It is a super-2 number, since 2×111313123132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11131317313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162895 + ... + 1172427.

It is an arithmetic number, because the mean of its divisors is an integer number (767277252).

Almost surely, 211131312313 is an apocalyptic number.

It is an amenable number.

11131312313 is a deficient number, since it is larger than the sum of its proper divisors (1145123719).

11131312313 is a wasteful number, since it uses less digits than its factorization.

11131312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696.

The product of its digits is 162, while the sum is 20.

Adding to 11131312313 its reverse (31321313111), we get a palindrome (42452625424).

The spelling of 11131312313 in words is "eleven billion, one hundred thirty-one million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 11 101 1051 1111 9533 11561 104863 106151 962833 1167661 10019183 10591163 110211013 1011937483 11131312313