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131729 = 1310133
BaseRepresentation
bin100000001010010001
320200200212
4200022101
513203404
62453505
71056023
oct401221
9220625
10131729
118aa74
1264295
1347c60
1436013
152906e
hex20291

131729 has 4 divisors (see below), whose sum is σ = 141876. Its totient is φ = 121584.

The previous prime is 131713. The next prime is 131731. The reversal of 131729 is 927131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 927131 = 3312801.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 70225 = 248^2 + 265^2 .

It is a cyclic number.

It is not a de Polignac number, because 131729 - 24 = 131713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131749) 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 3 ways as a sum of consecutive naturals, for example, 5054 + ... + 5079.

It is an arithmetic number, because the mean of its divisors is an integer number (35469).

2131729 is an apocalyptic number.

It is an amenable number.

131729 is a deficient number, since it is larger than the sum of its proper divisors (10147).

131729 is a wasteful number, since it uses less digits than its factorization.

131729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10146.

The product of its digits is 378, while the sum is 23.

The square root of 131729 is about 362.9448993993. The cubic root of 131729 is about 50.8815654968.

The spelling of 131729 in words is "one hundred thirty-one thousand, seven hundred twenty-nine".

Divisors: 1 13 10133 131729