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32131 = 1123127
BaseRepresentation
bin111110110000011
31122002001
413312003
52012011
6404431
7162451
oct76603
948061
1032131
1122160
1216717
1311818
14b9d1
1597c1
hex7d83

32131 has 8 divisors (see below), whose sum is σ = 36864. Its totient is φ = 27720.

The previous prime is 32119. The next prime is 32141. The reversal of 32131 is 13123.

32131 is a nontrivial binomial coefficient, being equal to C(254, 2).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 32131 - 25 = 32099 is a prime.

It is a super-2 number, since 2×321312 = 2064802322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 316.

It is an arithmetic number, because the mean of its divisors is an integer number (4608).

232131 is an apocalyptic number.

32131 is the 253-rd triangular number and also the 127-th hexagonal number.

32131 is the 85-th centered nonagonal number.

32131 is a deficient number, since it is larger than the sum of its proper divisors (4733).

32131 is a wasteful number, since it uses less digits than its factorization.

32131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 18, while the sum is 10.

The square root of 32131 is about 179.2512203585. The cubic root of 32131 is about 31.7912848762.

Adding to 32131 its reverse (13123), we get a palindrome (45254).

The spelling of 32131 in words is "thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 23 127 253 1397 2921 32131