Base | Representation |
---|---|
bin | 1111101000011… |
… | …00101110011000 |
3 | 100010201210110220 |
4 | 13310030232120 |
5 | 232031432440 |
6 | 21002240040 |
7 | 3151352031 |
oct | 764145630 |
9 | 303653426 |
10 | 131124120 |
11 | 6801a546 |
12 | 37ab6020 |
13 | 2122034a |
14 | 135b3a88 |
15 | b7a18d0 |
hex | 7d0cb98 |
131124120 has 96 divisors (see below), whose sum is σ = 401965200. Its totient is φ = 34218496.
The previous prime is 131124107. The next prime is 131124143. The reversal of 131124120 is 21421131.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 131124120.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336886 + ... + 337274.
Almost surely, 2131124120 is an apocalyptic number.
131124120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131124120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200982600).
131124120 is an abundant number, since it is smaller than the sum of its proper divisors (270841080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131124120 is a wasteful number, since it uses less digits than its factorization.
131124120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 509 (or 452 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
The square root of 131124120 is about 11450.9440658838. The cubic root of 131124120 is about 508.0356579017.
Adding to 131124120 its reverse (21421131), we get a palindrome (152545251).
It can be divided in two parts, 131 and 124120, that added together give a triangular number (124251 = T498).
The spelling of 131124120 in words is "one hundred thirty-one million, one hundred twenty-four thousand, one hundred twenty".
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