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13131011111 = 101193733919
BaseRepresentation
bin11000011101010101…
…10101010000100111
31020220010022110220212
430032222311100213
5203343014323421
610010551050035
7643253516141
oct141652652047
936803273825
1013131011111
115629127aa9
12266567091b
13131358277a
148c7d0dc91
1551cbcee5b
hex30eab5427

13131011111 has 16 divisors (see below), whose sum is σ = 13362440640. Its totient is φ = 12901939200.

The previous prime is 13131011107. The next prime is 13131011161. The reversal of 13131011111 is 11111013131.

13131011111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131011111 - 22 = 13131011107 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131011161) 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 15 ways as a sum of consecutive naturals, for example, 14287910 + ... + 14288828.

It is an arithmetic number, because the mean of its divisors is an integer number (835152540).

Almost surely, 213131011111 is an apocalyptic number.

13131011111 is a deficient number, since it is larger than the sum of its proper divisors (231429529).

13131011111 is a wasteful number, since it uses less digits than its factorization.

13131011111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 13131011111 its reverse (11111013131), we get a palindrome (24242024242).

The spelling of 13131011111 in words is "thirteen billion, one hundred thirty-one million, eleven thousand, one hundred eleven".

Divisors: 1 101 193 733 919 19493 74033 92819 141469 177367 673627 14288369 17914067 68036327 130010011 13131011111