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12313111121 is a prime number
BaseRepresentation
bin10110111011110101…
…10010101001010001
31011210010021212001122
423131322302221101
5200204124023441
65353452412025
7614062501103
oct133572625121
934703255048
1012313111121
1152494806a3
122477777015
131212ca328c
1484b445573
154c0ebe34b
hex2ddeb2a51

12313111121 has 2 divisors, whose sum is σ = 12313111122. Its totient is φ = 12313111120.

The previous prime is 12313111093. The next prime is 12313111127. The reversal of 12313111121 is 12111131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9695356225 + 2617754896 = 98465^2 + 51164^2 .

It is a cyclic number.

It is not a de Polignac number, because 12313111121 - 226 = 12246002257 is a prime.

It is a super-2 number, since 2×123131111212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12313111121.

It is not a weakly prime, because it can be changed into another prime (12313111127) 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 as a sum of consecutive naturals, namely, 6156555560 + 6156555561.

It is an arithmetic number, because the mean of its divisors is an integer number (6156555561).

Almost surely, 212313111121 is an apocalyptic number.

It is an amenable number.

12313111121 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313111121 is an equidigital number, since it uses as much as digits as its factorization.

12313111121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36, while the sum is 17.

Adding to 12313111121 its reverse (12111131321), we get a palindrome (24424242442).

The spelling of 12313111121 in words is "twelve billion, three hundred thirteen million, one hundred eleven thousand, one hundred twenty-one".