Search a number
-
+
131327567337 = 3537111633233
BaseRepresentation
bin111101001001110111…
…0111010010111101001
3110112222102222122122110
41322103232322113221
54122424324123322
6140155301312533
712326263622031
oct1722356722751
9415872878573
10131327567337
1150771a9611a
1221551405749
13c4cbc42435
1464db9248c1
15363969bc0c
hex1e93bba5e9

131327567337 has 16 divisors (see below), whose sum is σ = 180920055168. Its totient is φ = 84689928960.

The previous prime is 131327567333. The next prime is 131327567347. The reversal of 131327567337 is 733765723131.

It is not a de Polignac number, because 131327567337 - 22 = 131327567333 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131327567333) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5805328 + ... + 5827905.

It is an arithmetic number, because the mean of its divisors is an integer number (11307503448).

Almost surely, 2131327567337 is an apocalyptic number.

It is an amenable number.

131327567337 is a deficient number, since it is larger than the sum of its proper divisors (49592487831).

131327567337 is a wasteful number, since it uses less digits than its factorization.

131327567337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11633360.

The product of its digits is 1666980, while the sum is 48.

The spelling of 131327567337 in words is "one hundred thirty-one billion, three hundred twenty-seven million, five hundred sixty-seven thousand, three hundred thirty-seven".

Divisors: 1 3 53 71 159 213 3763 11289 11633233 34899699 616561349 825959543 1849684047 2477878629 43775855779 131327567337