Search a number
-
+
10131 = 311307
BaseRepresentation
bin10011110010011
3111220020
42132103
5311011
6114523
741352
oct23623
914806
1010131
117680
125a43
1347c4
143999
153006
hex2793

10131 has 8 divisors (see below), whose sum is σ = 14784. Its totient is φ = 6120.

The previous prime is 10111. The next prime is 10133. The reversal of 10131 is 13101.

10131 = 102 + 112 + ... + 312.

10131 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10131 - 25 = 10099 is a prime.

It is a super-2 number, since 2×101312 = 205274322, which contains 22 as substring.

10131 is a lucky number.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (10133) 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, 121 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (1848).

10131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10131 is a deficient number, since it is larger than the sum of its proper divisors (4653).

10131 is a wasteful number, since it uses less digits than its factorization.

10131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 10131 is about 100.6528688116. The cubic root of 10131 is about 21.6380160428.

Adding to 10131 its reverse (13101), we get a palindrome (23232).

It can be divided in two parts, 10 and 131, that added together give a palindrome (141).

The spelling of 10131 in words is "ten thousand, one hundred thirty-one".

Divisors: 1 3 11 33 307 921 3377 10131