Search a number
-
+
102612512513 = 7371512623757
BaseRepresentation
bin101111110010000101…
…1101010111100000001
3100210212020112201200102
41133210023222330001
53140122300400023
6115050050132145
710261555652030
oct1374413527401
9323766481612
10102612512513
113a5770a7455
1217a78881055
1398a3b43a34
144d75ddc717
152a0878c628
hex17e42eaf01

102612512513 has 16 divisors (see below), whose sum is σ = 121238609664. Its totient is φ = 85009694400.

The previous prime is 102612512491. The next prime is 102612512549. The reversal of 102612512513 is 315215216201.

It is a cyclic number.

It is not a de Polignac number, because 102612512513 - 236 = 33893035777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102612512213) 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 15 ways as a sum of consecutive naturals, for example, 1272770 + ... + 1350987.

It is an arithmetic number, because the mean of its divisors is an integer number (7577413104).

Almost surely, 2102612512513 is an apocalyptic number.

It is an amenable number.

102612512513 is a deficient number, since it is larger than the sum of its proper divisors (18626097151).

102612512513 is a wasteful number, since it uses less digits than its factorization.

102612512513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623952.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 102612512513 its reverse (315215216201), we get a palindrome (417827728714).

The spelling of 102612512513 in words is "one hundred two billion, six hundred twelve million, five hundred twelve thousand, five hundred thirteen".

Divisors: 1 7 37 151 259 1057 5587 39109 2623757 18366299 97079009 396187307 679553063 2773311149 14658930359 102612512513