Base | Representation |
---|---|
bin | 1111101000010… |
… | …10000000111100 |
3 | 100010201020020210 |
4 | 13310022000330 |
5 | 232031104040 |
6 | 21002112420 |
7 | 3151304463 |
oct | 764120074 |
9 | 303636223 |
10 | 131113020 |
11 | 68012175 |
12 | 37aab710 |
13 | 2121828c |
14 | 135ad9da |
15 | b79d480 |
hex | 7d0a03c |
131113020 has 96 divisors (see below), whose sum is σ = 380540160. Its totient is φ = 33707520.
The previous prime is 131113019. The next prime is 131113069. The reversal of 131113020 is 20311131.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 131112987 and 131113005.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229335 + ... + 229905.
It is an arithmetic number, because the mean of its divisors is an integer number (3963960).
Almost surely, 2131113020 is an apocalyptic number.
131113020 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 131113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190270080).
131113020 is an abundant number, since it is smaller than the sum of its proper divisors (249427140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131113020 is a wasteful number, since it uses less digits than its factorization.
131113020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 715 (or 713 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 131113020 is about 11450.4593794310. The cubic root of 131113020 is about 508.0213219810.
Adding to 131113020 its reverse (20311131), we get a palindrome (151424151).
The spelling of 131113020 in words is "one hundred thirty-one million, one hundred thirteen thousand, twenty".
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