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12324013129 is a prime number
BaseRepresentation
bin10110111101001000…
…11000010001001001
31011210212210201210201
423132210120101021
5200214421410004
65354522212201
7614254245301
oct133644302111
934725721721
1012324013129
11525464751a
12247b354061
13121531c57c
1484ca82601
154c1e246a4
hex2de918449

12324013129 has 2 divisors, whose sum is σ = 12324013130. Its totient is φ = 12324013128.

The previous prime is 12324013087. The next prime is 12324013153. The reversal of 12324013129 is 92131042321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11347575625 + 976437504 = 106525^2 + 31248^2 .

It is a cyclic number.

It is not a de Polignac number, because 12324013129 - 231 = 10176529481 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12324013097 and 12324013106.

It is not a weakly prime, because it can be changed into another prime (12324013199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6162006564 + 6162006565.

It is an arithmetic number, because the mean of its divisors is an integer number (6162006565).

Almost surely, 212324013129 is an apocalyptic number.

It is an amenable number.

12324013129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12324013129 is an equidigital number, since it uses as much as digits as its factorization.

12324013129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

It can be divided in two parts, 1232 and 4013129, that added together give a triangular number (4014361 = T2833).

The spelling of 12324013129 in words is "twelve billion, three hundred twenty-four million, thirteen thousand, one hundred twenty-nine".