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BaseRepresentation
bin1000000101101011
31200110002
420011223
52030011
6413215
7165410
oct100553
950402
1033131
112298a
121720b
1312107
14c107
159c3b
hex816b

33131 has 4 divisors (see below), whose sum is σ = 37872. Its totient is φ = 28392.

The previous prime is 33119. The next prime is 33149. The reversal of 33131 is 13133.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 13133 = 23571.

It is not a de Polignac number, because 33131 - 214 = 16747 is a prime.

It is a super-2 number, since 2×331312 = 2195326322, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33131.

It is not an unprimeable number, because it can be changed into a prime (33151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2360 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (9468).

233131 is an apocalyptic number.

33131 is a deficient number, since it is larger than the sum of its proper divisors (4741).

33131 is an equidigital number, since it uses as much as digits as its factorization.

33131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4740.

The product of its digits is 27, while the sum is 11.

The square root of 33131 is about 182.0192297533. The cubic root of 33131 is about 32.1177303924.

Adding to 33131 its reverse (13133), we get a palindrome (46264).

The spelling of 33131 in words is "thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 4733 33131