Base | Representation |
---|---|
bin | 1111101001111… |
… | …00100011000000 |
3 | 100011002202011201 |
4 | 13310330203000 |
5 | 232104220000 |
6 | 21010350544 |
7 | 3153126100 |
oct | 764744300 |
9 | 304082151 |
10 | 131320000 |
11 | 68143729 |
12 | 37b8b454 |
13 | 2128b556 |
14 | 13625200 |
15 | b7de96a |
hex | 7d3c8c0 |
131320000 has 210 divisors, whose sum is σ = 384448812. Its totient is φ = 44352000.
The previous prime is 131319997. The next prime is 131320009. The reversal of 131320000 is 23131.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (131320009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1959967 + ... + 1960033.
Almost surely, 2131320000 is an apocalyptic number.
131320000 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 131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192224406).
131320000 is an abundant number, since it is smaller than the sum of its proper divisors (253128812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131320000 is an frugal number, since it uses more digits than its factorization.
131320000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 113 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 10.
The square root of 131320000 is about 11459.4938806214. The cubic root of 131320000 is about 508.2885086934.
Adding to 131320000 its reverse (23131), we get a palindrome (131343131).
The spelling of 131320000 in words is "one hundred thirty-one million, three hundred twenty thousand".
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