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131157 = 32131959
BaseRepresentation
bin100000000001010101
320122220200
4200001111
513144112
62451113
71054245
oct400125
9218820
10131157
118a5a4
1263a99
1347910
1435b25
1528cdc
hex20055

131157 has 24 divisors (see below), whose sum is σ = 218400. Its totient is φ = 75168.

The previous prime is 131149. The next prime is 131171. The reversal of 131157 is 751131.

It is a happy number.

It is not a de Polignac number, because 131157 - 23 = 131149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2194 + ... + 2252.

It is an arithmetic number, because the mean of its divisors is an integer number (9100).

2131157 is an apocalyptic number.

It is an amenable number.

131157 is a deficient number, since it is larger than the sum of its proper divisors (87243).

131157 is a wasteful number, since it uses less digits than its factorization.

131157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 94 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 131157 is about 362.1560437160. The cubic root of 131157 is about 50.8078118476.

Adding to 131157 its reverse (751131), we get a palindrome (882288).

The spelling of 131157 in words is "one hundred thirty-one thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 19 39 57 59 117 171 177 247 531 741 767 1121 2223 2301 3363 6903 10089 14573 43719 131157