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131329 = 1111939
BaseRepresentation
bin100000000100000001
320200011001
4200010001
513200304
62452001
71054612
oct400401
9220131
10131329
118a740
1264001
1347a13
1435c09
1528da4
hex20101

131329 has 4 divisors (see below), whose sum is σ = 143280. Its totient is φ = 119380.

The previous prime is 131321. The next prime is 131357. The reversal of 131329 is 923131.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 923131 = 1183921.

It is a cyclic number.

It is not a de Polignac number, because 131329 - 23 = 131321 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 35 + 1 + 217 + 9 .

It is a pancake number, because a pancake can be divided into 131329 parts by 512 straight cuts.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131321) 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 3 ways as a sum of consecutive naturals, for example, 5959 + ... + 5980.

It is an arithmetic number, because the mean of its divisors is an integer number (35820).

2131329 is an apocalyptic number.

It is an amenable number.

131329 is a deficient number, since it is larger than the sum of its proper divisors (11951).

131329 is a wasteful number, since it uses less digits than its factorization.

131329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950.

The product of its digits is 162, while the sum is 19.

The square root of 131329 is about 362.3934326116. The cubic root of 131329 is about 50.8300120258.

The spelling of 131329 in words is "one hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 11 11939 131329