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12131301213 = 323174252121
BaseRepresentation
bin10110100110001010…
…01111011101011101
31011022110011221202100
423103011033131131
5144321103114323
65323435515313
7606424234053
oct132305173535
934273157670
1012131301213
115165892179
1224268b8b39
1311b4417655
1483123a1d3
154b0059943
hex2d314f75d

12131301213 has 12 divisors (see below), whose sum is σ = 17578272348. Its totient is φ = 8062019520.

The previous prime is 12131301211. The next prime is 12131301223. The reversal of 12131301213 is 31210313121.

12131301213 is a `hidden beast` number, since 121 + 31 + 301 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2660702724 + 9470598489 = 51582^2 + 97317^2 .

It is not a de Polignac number, because 12131301213 - 21 = 12131301211 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131301211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2123208 + ... + 2128913.

It is an arithmetic number, because the mean of its divisors is an integer number (1464856029).

Almost surely, 212131301213 is an apocalyptic number.

It is an amenable number.

12131301213 is a deficient number, since it is larger than the sum of its proper divisors (5446971135).

12131301213 is a wasteful number, since it uses less digits than its factorization.

12131301213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4252444 (or 4252441 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131301213 its reverse (31210313121), we get a palindrome (43341614334).

The spelling of 12131301213 in words is "twelve billion, one hundred thirty-one million, three hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 317 951 2853 4252121 12756363 38269089 1347922357 4043767071 12131301213