Base | Representation |
---|---|
bin | 1111101001110… |
… | …00001110100000 |
3 | 100011001211220022 |
4 | 13310320032200 |
5 | 232103133204 |
6 | 21010133012 |
7 | 3153023360 |
oct | 764701640 |
9 | 304054808 |
10 | 131302304 |
11 | 68131401 |
12 | 37b81168 |
13 | 21283493 |
14 | 1361c9a0 |
15 | b7d95be |
hex | 7d383a0 |
131302304 has 48 divisors (see below), whose sum is σ = 298525248. Its totient is φ = 55683072.
The previous prime is 131302289. The next prime is 131302313. The reversal of 131302304 is 403203131.
It is a happy number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 18707 + ... + 24749.
It is an arithmetic number, because the mean of its divisors is an integer number (6219276).
Almost surely, 2131302304 is an apocalyptic number.
131302304 is a gapful number since it is divisible by the number (14) 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 131302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149262624).
131302304 is an abundant number, since it is smaller than the sum of its proper divisors (167222944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131302304 is an equidigital number, since it uses as much as digits as its factorization.
131302304 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6157 (or 6149 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 17.
The square root of 131302304 is about 11458.7217437199. The cubic root of 131302304 is about 508.2656762295.
Adding to 131302304 its reverse (403203131), we get a palindrome (534505435).
The spelling of 131302304 in words is "one hundred thirty-one million, three hundred two thousand, three hundred four".
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