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12113431121 = 112100111001
BaseRepresentation
bin10110100100000010…
…00100101001010001
31011021012120001121002
423102001010221101
5144302014243441
65322000511345
7606116315501
oct132201045121
934235501532
1012113431121
115156797100
12242091b555
1311b07cb82c
1482cb07a01
154ad6c9b9b
hex2d2044a51

12113431121 has 6 divisors (see below), whose sum is σ = 13314763266. Its totient is φ = 11012210000.

The previous prime is 12113431117. The next prime is 12113431123.

12113431121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 9160595521 + 2952835600 = 95711^2 + 54340^2 .

It is not a de Polignac number, because 12113431121 - 22 = 12113431117 is a prime.

It is a super-2 number, since 2×121134311212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12113431093 and 12113431102.

It is not an unprimeable number, because it can be changed into a prime (12113431123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50055380 + ... + 50055621.

It is an arithmetic number, because the mean of its divisors is an integer number (2219127211).

Almost surely, 212113431121 is an apocalyptic number.

12113431121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12113431121 is a deficient number, since it is larger than the sum of its proper divisors (1201332145).

12113431121 is a wasteful number, since it uses less digits than its factorization.

12113431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100111023 (or 100111012 counting only the distinct ones).

The product of its digits is 144, while the sum is 20.

The spelling of 12113431121 in words is "twelve billion, one hundred thirteen million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 11 121 100111001 1101221011 12113431121