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131075 = 5272107
BaseRepresentation
bin100000000000000011
320122210122
4200000003
513143300
62450455
71054100
oct400003
9218718
10131075
118a52a
1263a2b
1347879
1435aa7
1528c85
hex20003

131075 has 18 divisors (see below), whose sum is σ = 190836. Its totient is φ = 89040.

The previous prime is 131071. The next prime is 131101. The reversal of 131075 is 570131.

It is not a de Polignac number, because 131075 - 22 = 131071 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1172 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

131075 is a Friedman number, since it can be written as (10/5)^17+3, using all its digits and the basic arithmetic operations.

2131075 is an apocalyptic number.

131075 is a deficient number, since it is larger than the sum of its proper divisors (59761).

131075 is a wasteful number, since it uses less digits than its factorization.

131075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 131075 is about 362.0428151476. The cubic root of 131075 is about 50.7972212091.

The spelling of 131075 in words is "one hundred thirty-one thousand, seventy-five".

Divisors: 1 5 7 25 35 49 107 175 245 535 749 1225 2675 3745 5243 18725 26215 131075