Base | Representation |
---|---|
bin | 1111100001110… |
… | …1001100100100 |
3 | 11112120000100101 |
4 | 3320131030210 |
5 | 113133200200 |
6 | 10243553444 |
7 | 1420415113 |
oct | 370351444 |
9 | 145500311 |
10 | 65131300 |
11 | 33846123 |
12 | 1998b884 |
13 | 10655740 |
14 | 8915c7a |
15 | 5ab826a |
hex | 3e1d324 |
65131300 has 36 divisors (see below), whose sum is σ = 152209876. Its totient is φ = 24048000.
The previous prime is 65131291. The next prime is 65131309. The reversal of 65131300 is 313156.
65131300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (65131291) and next prime (65131309).
It can be written as a sum of positive squares in 6 ways, for example, as 17355556 + 47775744 = 4166^2 + 6912^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (65131309) 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 11 ways as a sum of consecutive naturals, for example, 23751 + ... + 26350.
Almost surely, 265131300 is an apocalyptic number.
It is an amenable number.
65131300 is an abundant number, since it is smaller than the sum of its proper divisors (87078576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
65131300 is a wasteful number, since it uses less digits than its factorization.
65131300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 50128 (or 50121 counting only the distinct ones).
The product of its (nonzero) digits is 270, while the sum is 19.
The square root of 65131300 is about 8070.3965206178. The cubic root of 65131300 is about 402.3431226402.
Adding to 65131300 its reverse (313156), we get a palindrome (65444456).
The spelling of 65131300 in words is "sixty-five million, one hundred thirty-one thousand, three hundred".
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