Search a number
-
+
12504035129 is a prime number
BaseRepresentation
bin10111010010100110…
…00110111100111001
31012021102112210120012
423221103012330321
5201102013111004
65424432511305
7621601354625
oct135123067471
935242483505
1012504035129
115337224733
12250b6ab535
131243700471
14868944185
154d2b3446e
hex2e94c6f39

12504035129 has 2 divisors, whose sum is σ = 12504035130. Its totient is φ = 12504035128.

The previous prime is 12504035107. The next prime is 12504035149. The reversal of 12504035129 is 92153040521.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9825765625 + 2678269504 = 99125^2 + 51752^2 .

It is a cyclic number.

It is not a de Polignac number, because 12504035129 - 216 = 12503969593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12504035095 and 12504035104.

It is not a weakly prime, because it can be changed into another prime (12504035149) 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, 6252017564 + 6252017565.

It is an arithmetic number, because the mean of its divisors is an integer number (6252017565).

Almost surely, 212504035129 is an apocalyptic number.

It is an amenable number.

12504035129 is a deficient number, since it is larger than the sum of its proper divisors (1).

12504035129 is an equidigital number, since it uses as much as digits as its factorization.

12504035129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 12504035129 in words is "twelve billion, five hundred four million, thirty-five thousand, one hundred twenty-nine".