Search a number
-
+
131305653 = 3222764271
BaseRepresentation
bin1111101001110…
…01000010110101
3100011002000111100
413310321002311
5232103240103
621010200313
73153036213
oct764710265
9304060440
10131305653
1168133976
1237b83099
1321284b6b
141361dcb3
15b7da5a3
hex7d390b5

131305653 has 12 divisors (see below), whose sum is σ = 190502208. Its totient is φ = 87150120.

The previous prime is 131305631. The next prime is 131305673. The reversal of 131305653 is 356503131.

131305653 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 5 + 653 = 666.

It is not a de Polignac number, because 131305653 - 26 = 131305589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131305613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30093 + ... + 34178.

It is an arithmetic number, because the mean of its divisors is an integer number (15875184).

Almost surely, 2131305653 is an apocalyptic number.

It is an amenable number.

131305653 is a deficient number, since it is larger than the sum of its proper divisors (59196555).

131305653 is a wasteful number, since it uses less digits than its factorization.

131305653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64504 (or 64501 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 131305653 is about 11458.8678760164. The cubic root of 131305653 is about 508.2699974719.

Adding to 131305653 its reverse (356503131), we get a palindrome (487808784).

The spelling of 131305653 in words is "one hundred thirty-one million, three hundred five thousand, six hundred fifty-three".

Divisors: 1 3 9 227 681 2043 64271 192813 578439 14589517 43768551 131305653