Search a number
-
+
13875234137 is a prime number
BaseRepresentation
bin11001110110000011…
…10100010101011001
31022210222200220222122
430323001310111121
5211404024443022
610212454231025
71000561354442
oct147301642531
938728626878
1013875234137
115980231856
122832955475
13140180691b
14958aba2c9
155631da742
hex33b074559

13875234137 has 2 divisors, whose sum is σ = 13875234138. Its totient is φ = 13875234136.

The previous prime is 13875234119. The next prime is 13875234157. The reversal of 13875234137 is 73143257831.

It is a happy number.

13875234137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12122890816 + 1752343321 = 110104^2 + 41861^2 .

It is a cyclic number.

It is not a de Polignac number, because 13875234137 - 26 = 13875234073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13875234157) 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, 6937617068 + 6937617069.

It is an arithmetic number, because the mean of its divisors is an integer number (6937617069).

Almost surely, 213875234137 is an apocalyptic number.

It is an amenable number.

13875234137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13875234137 is an equidigital number, since it uses as much as digits as its factorization.

13875234137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360, while the sum is 44.

The spelling of 13875234137 in words is "thirteen billion, eight hundred seventy-five million, two hundred thirty-four thousand, one hundred thirty-seven".