Search a number
-
+
13031110129 is a prime number
BaseRepresentation
bin11000010001011011…
…01111010111110001
31020122011022222112111
430020231233113301
5203141431011004
65553021525321
7640631415502
oct141055572761
936564288474
1013031110129
1155877a3a04
122638113841
1312c897506b
148b8946ba9
15514049a04
hex308b6f5f1

13031110129 has 2 divisors, whose sum is σ = 13031110130. Its totient is φ = 13031110128.

The previous prime is 13031110111. The next prime is 13031110187. The reversal of 13031110129 is 92101113031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10993941904 + 2037168225 = 104852^2 + 45135^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031110129 - 25 = 13031110097 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031110109) 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, 6515555064 + 6515555065.

It is an arithmetic number, because the mean of its divisors is an integer number (6515555065).

Almost surely, 213031110129 is an apocalyptic number.

It is an amenable number.

13031110129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031110129 is an equidigital number, since it uses as much as digits as its factorization.

13031110129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 22.

The spelling of 13031110129 in words is "thirteen billion, thirty-one million, one hundred ten thousand, one hundred twenty-nine".