Base | Representation |
---|---|
bin | 1111101000100… |
… | …00111000000100 |
3 | 100010202122210200 |
4 | 13310100320010 |
5 | 232033003444 |
6 | 21002450500 |
7 | 3151452432 |
oct | 764207004 |
9 | 303678720 |
10 | 131141124 |
11 | 680312a4 |
12 | 37b03a30 |
13 | 21227cca |
14 | 135b9d52 |
15 | b7a6969 |
hex | 7d10e04 |
131141124 has 72 divisors (see below), whose sum is σ = 354436992. Its totient is φ = 40782720.
The previous prime is 131141117. The next prime is 131141149. The reversal of 131141124 is 421141131.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 131141097 and 131141106.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 32017 + ... + 35879.
It is an arithmetic number, because the mean of its divisors is an integer number (4922736).
Almost surely, 2131141124 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).
131141124 is an abundant number, since it is smaller than the sum of its proper divisors (223295868).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131141124 is a wasteful number, since it uses less digits than its factorization.
131141124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3937 (or 3932 counting only the distinct ones).
The product of its digits is 96, while the sum is 18.
The square root of 131141124 is about 11451.6865133482. The cubic root of 131141124 is about 508.0576174134.
Adding to 131141124 its reverse (421141131), we get a palindrome (552282255).
The spelling of 131141124 in words is "one hundred thirty-one million, one hundred forty-one thousand, one hundred twenty-four".
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