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12431013029 is a prime number
BaseRepresentation
bin10111001001111001…
…00011010010100101
31012002100010220001222
423210330203102211
5200424314404104
65413303430125
7620023603331
oct134474432245
935070126058
1012431013029
1152a9a8a096
1224ab155345
131231544216
1485cd767c1
154cb50d1be
hex2e4f234a5

12431013029 has 2 divisors, whose sum is σ = 12431013030. Its totient is φ = 12431013028.

The previous prime is 12431013013. The next prime is 12431013031. The reversal of 12431013029 is 92031013421.

12431013029 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., 9373144225 + 3057868804 = 96815^2 + 55298^2 .

It is an emirp because it is prime and its reverse (92031013421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12431013029 - 24 = 12431013013 is a prime.

Together with 12431013031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 12431012989 and 12431013007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12431013059) 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, 6215506514 + 6215506515.

It is an arithmetic number, because the mean of its divisors is an integer number (6215506515).

Almost surely, 212431013029 is an apocalyptic number.

It is an amenable number.

12431013029 is a deficient number, since it is larger than the sum of its proper divisors (1).

12431013029 is an equidigital number, since it uses as much as digits as its factorization.

12431013029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 12431013029 in words is "twelve billion, four hundred thirty-one million, thirteen thousand, twenty-nine".