Search a number
-
+
168502131137 is a prime number
BaseRepresentation
bin1001110011101110000…
…0100111100111000001
3121002221012111011022202
42130323200213213001
510230043021144022
6205224145242545
715113432324354
oct2347340474701
9532835434282
10168502131137
116550907311a
12287a7033455
1312b7482cb52
148226b6a29b
1545b30c2592
hex273b8279c1

168502131137 has 2 divisors, whose sum is σ = 168502131138. Its totient is φ = 168502131136.

The previous prime is 168502131113. The next prime is 168502131143. The reversal of 168502131137 is 731131205861.

168502131137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162663795856 + 5838335281 = 403316^2 + 76409^2 .

It is a cyclic number.

It is not a de Polignac number, because 168502131137 - 218 = 168501868993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 168502131137.

It is not a weakly prime, because it can be changed into another prime (168502131167) 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, 84251065568 + 84251065569.

It is an arithmetic number, because the mean of its divisors is an integer number (84251065569).

Almost surely, 2168502131137 is an apocalyptic number.

It is an amenable number.

168502131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

168502131137 is an equidigital number, since it uses as much as digits as its factorization.

168502131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 38.

Adding to 168502131137 its reverse (731131205861), we get a palindrome (899633336998).

The spelling of 168502131137 in words is "one hundred sixty-eight billion, five hundred two million, one hundred thirty-one thousand, one hundred thirty-seven".