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12264242513 is a prime number
BaseRepresentation
bin10110110110000000…
…10111110101010001
31011122201100001221012
423123000113311101
5200104121230023
65344545140305
7612630225035
oct133300276521
934581301835
1012264242513
115223932a16
12246332a695
131205b22b43
14844b641c5
154bba69978
hex2db017d51

12264242513 has 2 divisors, whose sum is σ = 12264242514. Its totient is φ = 12264242512.

The previous prime is 12264242483. The next prime is 12264242521. The reversal of 12264242513 is 31524246221.

12264242513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12261575824 + 2666689 = 110732^2 + 1633^2 .

It is a cyclic number.

It is not a de Polignac number, because 12264242513 - 26 = 12264242449 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12264242513.

It is not a weakly prime, because it can be changed into another prime (12264242533) 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 as a sum of consecutive naturals, namely, 6132121256 + 6132121257.

It is an arithmetic number, because the mean of its divisors is an integer number (6132121257).

Almost surely, 212264242513 is an apocalyptic number.

It is an amenable number.

12264242513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12264242513 is an equidigital number, since it uses as much as digits as its factorization.

12264242513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23040, while the sum is 32.

Adding to 12264242513 its reverse (31524246221), we get a palindrome (43788488734).

The spelling of 12264242513 in words is "twelve billion, two hundred sixty-four million, two hundred forty-two thousand, five hundred thirteen".