Search a number
-
+
102370584713 is a prime number
BaseRepresentation
bin101111101010111000…
…0110010100010001001
3100210020101022112010112
41133111300302202021
53134123332202323
6115010044524105
710252560420125
oct1372560624211
9323211275115
10102370584713
113a462587521
1217a0b850635
1398659995a7
144d51c24585
1529e2400178
hex17d5c32889

102370584713 has 2 divisors, whose sum is σ = 102370584714. Its totient is φ = 102370584712.

The previous prime is 102370584703. The next prime is 102370584731. The reversal of 102370584713 is 317485073201.

Together with next prime (102370584731) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91949645824 + 10420938889 = 303232^2 + 102083^2 .

It is an emirp because it is prime and its reverse (317485073201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102370584713 - 224 = 102353807497 is a prime.

It is a super-2 number, since 2×1023705847132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102370584703) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51185292356 + 51185292357.

It is an arithmetic number, because the mean of its divisors is an integer number (51185292357).

Almost surely, 2102370584713 is an apocalyptic number.

It is an amenable number.

102370584713 is a deficient number, since it is larger than the sum of its proper divisors (1).

102370584713 is an equidigital number, since it uses as much as digits as its factorization.

102370584713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141120, while the sum is 41.

The spelling of 102370584713 in words is "one hundred two billion, three hundred seventy million, five hundred eighty-four thousand, seven hundred thirteen".