Search a number
-
+
102131256225 = 3521971671057
BaseRepresentation
bin101111100011101111…
…1110100101110100001
3100202121200222101011110
41133013133310232201
53133131100144400
6114530215133533
710243623232335
oct1370737645641
9322550871143
10102131256225
113a34a482489
12179636742a9
1398282222bb
144d2c1257c5
1529cb3c7e50
hex17c77f4ba1

102131256225 has 24 divisors (see below), whose sum is σ = 177744223840. Its totient is φ = 51603160320.

The previous prime is 102131256211. The next prime is 102131256233. The reversal of 102131256225 is 522652131201.

It is not a de Polignac number, because 102131256225 - 25 = 102131256193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102131256192 and 102131256201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35834104 + ... + 35836953.

Almost surely, 2102131256225 is an apocalyptic number.

102131256225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102131256225 is a deficient number, since it is larger than the sum of its proper divisors (75612967615).

102131256225 is a wasteful number, since it uses less digits than its factorization.

102131256225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71671089 (or 71671084 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 102131256225 its reverse (522652131201), we get a palindrome (624783387426).

The spelling of 102131256225 in words is "one hundred two billion, one hundred thirty-one million, two hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 15 19 25 57 75 95 285 475 1425 71671057 215013171 358355285 1075065855 1361750083 1791776425 4085250249 5375329275 6808750415 20426251245 34043752075 102131256225