Search a number
-
+
13800923137 is a prime number
BaseRepresentation
bin11001101101001100…
…10110000000000001
31022121210212112110101
430312212112000001
5211231014020022
610201241402401
7665666624341
oct146646260001
938553775411
1013800923137
115942296901
122811a99401
1313bc2b8b11
1494cc94d21
1555b90c627
hex336996001

13800923137 has 2 divisors, whose sum is σ = 13800923138. Its totient is φ = 13800923136.

The previous prime is 13800923111. The next prime is 13800923141. The reversal of 13800923137 is 73132900831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9619490241 + 4181432896 = 98079^2 + 64664^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13800923137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13800923096 and 13800923105.

It is not a weakly prime, because it can be changed into another prime (13800920137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6900461568 + 6900461569.

It is an arithmetic number, because the mean of its divisors is an integer number (6900461569).

Almost surely, 213800923137 is an apocalyptic number.

It is an amenable number.

13800923137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13800923137 is an equidigital number, since it uses as much as digits as its factorization.

13800923137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 13800923137 in words is "thirteen billion, eight hundred million, nine hundred twenty-three thousand, one hundred thirty-seven".