Search a number
-
+
107233135825 = 5215532761961
BaseRepresentation
bin110001111011110010…
…1111100110011010001
3101020210021001201021011
41203313211330303101
53224103140321300
6121132350130521
710514223421024
oct1436745746321
9336707051234
10107233135825
1141528345102
12189481b0a41
13a15c20207a
1452939471bb
152bc9255eba
hex18f797ccd1

107233135825 has 12 divisors (see below), whose sum is σ = 133054757388. Its totient is φ = 85731238400.

The previous prime is 107233135813. The next prime is 107233135903. The reversal of 107233135825 is 528531332701.

It can be written as a sum of positive squares in 6 ways, for example, as 2156023489 + 105077112336 = 46433^2 + 324156^2 .

It is not a de Polignac number, because 107233135825 - 215 = 107233103057 is a prime.

It is a super-2 number, since 2×1072331358252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1342156 + ... + 1419805.

It is an arithmetic number, because the mean of its divisors is an integer number (11087896449).

Almost surely, 2107233135825 is an apocalyptic number.

It is an amenable number.

107233135825 is a deficient number, since it is larger than the sum of its proper divisors (25821621563).

107233135825 is a wasteful number, since it uses less digits than its factorization.

107233135825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763524 (or 2763519 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 107233135825 in words is "one hundred seven billion, two hundred thirty-three million, one hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 25 1553 7765 38825 2761961 13809805 69049025 4289325433 21446627165 107233135825