Search a number
-
+
102210152137 is a prime number
BaseRepresentation
bin101111100110000110…
…0110010011011001001
3100202211012102201000021
41133030030302123021
53133311244332022
6114542114140441
710245601646512
oct1371414623311
9322735381007
10102210152137
113a38aa6a115
1217985b81721
13983b686c82
144d387c1a09
1529d32ae7c7
hex17cc3326c9

102210152137 has 2 divisors, whose sum is σ = 102210152138. Its totient is φ = 102210152136.

The previous prime is 102210152041. The next prime is 102210152197. The reversal of 102210152137 is 731251012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65165836176 + 37044315961 = 255276^2 + 192469^2 .

It is a cyclic number.

It is not a de Polignac number, because 102210152137 - 211 = 102210150089 is a prime.

It is not a weakly prime, because it can be changed into another prime (102210152197) 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, 51105076068 + 51105076069.

It is an arithmetic number, because the mean of its divisors is an integer number (51105076069).

Almost surely, 2102210152137 is an apocalyptic number.

It is an amenable number.

102210152137 is a deficient number, since it is larger than the sum of its proper divisors (1).

102210152137 is an equidigital number, since it uses as much as digits as its factorization.

102210152137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 102210152137 its reverse (731251012201), we get a palindrome (833461164338).

The spelling of 102210152137 in words is "one hundred two billion, two hundred ten million, one hundred fifty-two thousand, one hundred thirty-seven".