Search a number
-
+
136393157281 is a prime number
BaseRepresentation
bin111111100000110101…
…0100110101010100001
3111001001110210021200211
41333001222212222201
54213313122013111
6142354054414121
712565643464603
oct1770152465241
9431043707624
10136393157281
1152931421897
1222525961341
13cb28557434
14685c5bb173
15383425c521
hex1fc1aa6aa1

136393157281 has 2 divisors, whose sum is σ = 136393157282. Its totient is φ = 136393157280.

The previous prime is 136393157213. The next prime is 136393157323. The reversal of 136393157281 is 182751393631.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75955360000 + 60437797281 = 275600^2 + 245841^2 .

It is a cyclic number.

It is not a de Polignac number, because 136393157281 - 219 = 136392632993 is a prime.

It is a super-3 number, since 3×1363931572813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (136393157581) 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, 68196578640 + 68196578641.

It is an arithmetic number, because the mean of its divisors is an integer number (68196578641).

Almost surely, 2136393157281 is an apocalyptic number.

It is an amenable number.

136393157281 is a deficient number, since it is larger than the sum of its proper divisors (1).

136393157281 is an equidigital number, since it uses as much as digits as its factorization.

136393157281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 49.

The spelling of 136393157281 in words is "one hundred thirty-six billion, three hundred ninety-three million, one hundred fifty-seven thousand, two hundred eighty-one".