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131118 = 2313412
BaseRepresentation
bin100000000000101110
320122212020
4200000232
513143433
62451010
71054161
oct400056
9218766
10131118
118a569
1263a66
13478b0
1435ad8
1528cb3
hex2002e

131118 has 24 divisors (see below), whose sum is σ = 289464. Its totient is φ = 39360.

The previous prime is 131113. The next prime is 131129. The reversal of 131118 is 811131.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131097 and 131106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3178 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (12061).

2131118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144732).

131118 is an abundant number, since it is smaller than the sum of its proper divisors (158346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131118 is a wasteful number, since it uses less digits than its factorization.

131118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

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

The square root of 131118 is about 362.1021955194. The cubic root of 131118 is about 50.8027753873.

Adding to 131118 its reverse (811131), we get a palindrome (942249).

The spelling of 131118 in words is "one hundred thirty-one thousand, one hundred eighteen".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 246 533 1066 1599 1681 3198 3362 5043 10086 21853 43706 65559 131118