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131183091 = 3313973853
BaseRepresentation
bin1111101000110…
…11000111110011
3100010211210101000
413310123013303
5232040324331
621003413043
73152015664
oct764330763
9303753330
10131183091
116805a886
1237b24183
1321241140
14135cb36b
15b7b40e6
hex7d1b1f3

131183091 has 32 divisors (see below), whose sum is σ = 211507520. Its totient is φ = 79875072.

The previous prime is 131183083. The next prime is 131183141. The reversal of 131183091 is 190381131.

It is a happy number.

It is not a de Polignac number, because 131183091 - 23 = 131183083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131183021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32121 + ... + 35973.

It is an arithmetic number, because the mean of its divisors is an integer number (6609610).

Almost surely, 2131183091 is an apocalyptic number.

131183091 is a deficient number, since it is larger than the sum of its proper divisors (80324429).

131183091 is a wasteful number, since it uses less digits than its factorization.

131183091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3972 (or 3966 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 131183091 is about 11453.5187169708. The cubic root of 131183091 is about 508.1118068224. Note that the first 3 decimals are identical.

The spelling of 131183091 in words is "one hundred thirty-one million, one hundred eighty-three thousand, ninety-one".

Divisors: 1 3 9 13 27 39 97 117 291 351 873 1261 2619 3783 3853 11349 11559 34047 34677 50089 104031 150267 373741 450801 1121223 1352403 3363669 4858633 10091007 14575899 43727697 131183091