Search a number
-
+
102108915049 is a prime number
BaseRepresentation
bin101111100011000101…
…0100110010101101001
3100202120010221022211111
41133012022212111221
53133104340240144
6114524100230321
710243232312611
oct1370612462551
9322503838744
10102108915049
113a3389031a9
121795809b3a1
1398236cc37b
144d2918ba41
1529c9463534
hex17c62a6569

102108915049 has 2 divisors, whose sum is σ = 102108915050. Its totient is φ = 102108915048.

The previous prime is 102108915047. The next prime is 102108915061. The reversal of 102108915049 is 940519801201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101952490000 + 156425049 = 319300^2 + 12507^2 .

It is a cyclic number.

It is not a de Polignac number, because 102108915049 - 21 = 102108915047 is a prime.

It is a super-3 number, since 3×1021089150493 (a number of 34 digits) contains 333 as substring.

Together with 102108915047, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (102108915047) 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, 51054457524 + 51054457525.

It is an arithmetic number, because the mean of its divisors is an integer number (51054457525).

Almost surely, 2102108915049 is an apocalyptic number.

It is an amenable number.

102108915049 is a deficient number, since it is larger than the sum of its proper divisors (1).

102108915049 is an equidigital number, since it uses as much as digits as its factorization.

102108915049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 40.

The spelling of 102108915049 in words is "one hundred two billion, one hundred eight million, nine hundred fifteen thousand, forty-nine".