Search a number
-
+
136261368097 is a prime number
BaseRepresentation
bin111111011100111001…
…1110111100100100001
3111000201021210200220221
41332321303313210201
54213030402234342
6142333030003041
712562453342561
oct1767163674441
9430637720827
10136261368097
1152873a98708
12224a97a6481
13cb0716347a
146848cb2da1
1538278c8a67
hex1fb9cf7921

136261368097 has 2 divisors, whose sum is σ = 136261368098. Its totient is φ = 136261368096.

The previous prime is 136261368037. The next prime is 136261368109. The reversal of 136261368097 is 790863162631.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108056180961 + 28205187136 = 328719^2 + 167944^2 .

It is a cyclic number.

It is not a de Polignac number, because 136261368097 - 211 = 136261366049 is a prime.

It is a super-2 number, since 2×1362613680972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (136261368037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68130684048 + 68130684049.

It is an arithmetic number, because the mean of its divisors is an integer number (68130684049).

Almost surely, 2136261368097 is an apocalyptic number.

It is an amenable number.

136261368097 is a deficient number, since it is larger than the sum of its proper divisors (1).

136261368097 is an equidigital number, since it uses as much as digits as its factorization.

136261368097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 136261368097 in words is "one hundred thirty-six billion, two hundred sixty-one million, three hundred sixty-eight thousand, ninety-seven".