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118131 = 3132233
BaseRepresentation
bin11100110101110011
320000001020
4130311303
512240011
62310523
71001256
oct346563
9200036
10118131
1180832
1258443
1341a00
143109d
1525006
hex1cd73

118131 has 12 divisors (see below), whose sum is σ = 171288. Its totient is φ = 72384.

The previous prime is 118127. The next prime is 118147. The reversal of 118131 is 131811.

It is not a de Polignac number, because 118131 - 22 = 118127 is a prime.

It is a super-2 number, since 2×1181312 = 27909866322, which contains 22 as substring.

It is a hoax number, since the sum of its digits (15) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 118131.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 118131.

It is not an unprimeable number, because it can be changed into a prime (118171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391 + ... + 623.

It is an arithmetic number, because the mean of its divisors is an integer number (14274).

2118131 is an apocalyptic number.

118131 is a deficient number, since it is larger than the sum of its proper divisors (53157).

118131 is a wasteful number, since it uses less digits than its factorization.

118131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 118131 is about 343.7019057265. The cubic root of 118131 is about 49.0668253858.

Adding to 118131 its reverse (131811), we get a palindrome (249942).

The spelling of 118131 in words is "one hundred eighteen thousand, one hundred thirty-one".

Divisors: 1 3 13 39 169 233 507 699 3029 9087 39377 118131