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12131442213 = 311233419951
BaseRepresentation
bin10110100110001011…
…10001111000100101
31011022110110010011120
423103011301320211
5144321122122323
65323442524153
7606425362122
oct132305617045
934273403146
1012131442213
115165979100
122426966659
1311b4466897
14831275749
154b00865e3
hex2d3171e25

12131442213 has 12 divisors (see below), whose sum is σ = 17779414464. Its totient is φ = 7352389000.

The previous prime is 12131442181. The next prime is 12131442223. The reversal of 12131442213 is 31224413121.

12131442213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12131442213 - 25 = 12131442181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131442223) 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 11 ways as a sum of consecutive naturals, for example, 16709613 + ... + 16710338.

It is an arithmetic number, because the mean of its divisors is an integer number (1481617872).

Almost surely, 212131442213 is an apocalyptic number.

It is an amenable number.

12131442213 is a deficient number, since it is larger than the sum of its proper divisors (5647972251).

12131442213 is a wasteful number, since it uses less digits than its factorization.

12131442213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33419976 (or 33419965 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 12131442213 its reverse (31224413121), we get a palindrome (43355855334).

The spelling of 12131442213 in words is "twelve billion, one hundred thirty-one million, four hundred forty-two thousand, two hundred thirteen".

Divisors: 1 3 11 33 121 363 33419951 100259853 367619461 1102858383 4043814071 12131442213