Search a number
-
+
102077232517 = 1324712851219
BaseRepresentation
bin101111100010001000…
…1101111010110000101
3100202110221022200120101
41133010101233112011
53133023232420032
6114521005204101
710242366105661
oct1370421572605
9322427280511
10102077232517
113a321a33697
1217949560631
139819c88600
144d24ca18a1
1529c67a5de7
hex17c446f585

102077232517 has 12 divisors (see below), whose sum is σ = 112885116480. Its totient is φ = 92220340368.

The previous prime is 102077232497. The next prime is 102077232659. The reversal of 102077232517 is 715232770201.

It is not a de Polignac number, because 102077232517 - 235 = 67717494149 is a prime.

It is a super-2 number, since 2×1020772325172 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102077232017) 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 in 11 ways as a sum of consecutive naturals, for example, 6417667 + ... + 6433552.

It is an arithmetic number, because the mean of its divisors is an integer number (9407093040).

Almost surely, 2102077232517 is an apocalyptic number.

It is an amenable number.

102077232517 is a deficient number, since it is larger than the sum of its proper divisors (10807883963).

102077232517 is a wasteful number, since it uses less digits than its factorization.

102077232517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851292 (or 12851279 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 37.

The spelling of 102077232517 in words is "one hundred two billion, seventy-seven million, two hundred thirty-two thousand, five hundred seventeen".

Divisors: 1 13 47 169 611 7943 12851219 167065847 604007293 2171856011 7852094809 102077232517