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13412010137 is a prime number
BaseRepresentation
bin11000111110110101…
…10000100010011001
31021121201001201010012
430133122300202121
5204431433311022
610054505531305
7653235130241
oct143732604231
937551051105
1013412010137
1157628037a9
1227237a3b35
131359859a96
14913378b21
155376d8de2
hex31f6b0899

13412010137 has 2 divisors, whose sum is σ = 13412010138. Its totient is φ = 13412010136.

The previous prime is 13412010113. The next prime is 13412010151. The reversal of 13412010137 is 73101021431.

It is a happy number.

13412010137 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., 13027026496 + 384983641 = 114136^2 + 19621^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13412010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13412010737) 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, 6706005068 + 6706005069.

It is an arithmetic number, because the mean of its divisors is an integer number (6706005069).

Almost surely, 213412010137 is an apocalyptic number.

It is an amenable number.

13412010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13412010137 is an equidigital number, since it uses as much as digits as its factorization.

13412010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 13412010137 its reverse (73101021431), we get a palindrome (86513031568).

The spelling of 13412010137 in words is "thirteen billion, four hundred twelve million, ten thousand, one hundred thirty-seven".