Base | Representation |
---|---|
bin | 1111101001110… |
… | …10010110101100 |
3 | 100011002021212010 |
4 | 13310322112230 |
5 | 232103423040 |
6 | 21010241220 |
7 | 3153060651 |
oct | 764722654 |
9 | 304067763 |
10 | 131311020 |
11 | 68137a05 |
12 | 37b86210 |
13 | 21287439 |
14 | 13621c28 |
15 | b7dbe80 |
hex | 7d3a5ac |
131311020 has 48 divisors (see below), whose sum is σ = 368218368. Its totient is φ = 34964160.
The previous prime is 131311001. The next prime is 131311027. The reversal of 131311020 is 20113131.
It is a super-5 number, since 5×1313110205 (a number of 42 digits) contains 55555 as substring.
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 = 131310987 and 131311005.
It is not an unprimeable number, because it can be changed into a prime (131311027) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55665 + ... + 57975.
It is an arithmetic number, because the mean of its divisors is an integer number (7671216).
Almost surely, 2131311020 is an apocalyptic number.
131311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
131311020 is an abundant number, since it is smaller than the sum of its proper divisors (236907348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131311020 is a wasteful number, since it uses less digits than its factorization.
131311020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3270 (or 3268 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 131311020 is about 11459.1020590620. The cubic root of 131311020 is about 508.2769224033.
Adding to 131311020 its reverse (20113131), we get a palindrome (151424151).
The spelling of 131311020 in words is "one hundred thirty-one million, three hundred eleven thousand, twenty".
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