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12224014513 is a prime number
BaseRepresentation
bin10110110001001101…
…11010100010110001
31011112220122021111021
423120212322202301
5200013321431023
65340551015441
7611631260164
oct133046724261
934486567437
1012224014513
115203157037
12245196a581
1311ca6a95a9
1483d691adb
154b827035d
hex2d89ba8b1

12224014513 has 2 divisors, whose sum is σ = 12224014514. Its totient is φ = 12224014512.

The previous prime is 12224014507. The next prime is 12224014531. The reversal of 12224014513 is 31541042221.

12224014513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (12224014531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11717629504 + 506385009 = 108248^2 + 22503^2 .

It is a cyclic number.

It is not a de Polignac number, because 12224014513 - 225 = 12190460081 is a prime.

It is a super-4 number, since 4×122240145134 (a number of 41 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (12224014213) 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, 6112007256 + 6112007257.

It is an arithmetic number, because the mean of its divisors is an integer number (6112007257).

Almost surely, 212224014513 is an apocalyptic number.

It is an amenable number.

12224014513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12224014513 is an equidigital number, since it uses as much as digits as its factorization.

12224014513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 12224014513 its reverse (31541042221), we get a palindrome (43765056734).

The spelling of 12224014513 in words is "twelve billion, two hundred twenty-four million, fourteen thousand, five hundred thirteen".