Base | Representation |
---|---|
bin | 111101000100000001… |
… | …0001101100101101000 |
3 | 110112110202200020202020 |
4 | 1322020002031211220 |
5 | 4122024103101300 |
6 | 140124010504440 |
7 | 12321361442445 |
oct | 1721002154550 |
9 | 415422606666 |
10 | 131131300200 |
11 | 5068122277a |
12 | 214b7735120 |
13 | c49a394234 |
14 | 64bd8349cc |
15 | 362732d8a0 |
hex | 1e8808d968 |
131131300200 has 96 divisors (see below), whose sum is σ = 406919074560. Its totient is φ = 34932902400.
The previous prime is 131131300199. The next prime is 131131300207. The reversal of 131131300200 is 2003131131.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 131131300200.
It is not an unprimeable number, because it can be changed into a prime (131131300207) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484332 + ... + 704868.
It is an arithmetic number, because the mean of its divisors is an integer number (4238740360).
Almost surely, 2131131300200 is an apocalyptic number.
131131300200 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 131131300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203459537280).
131131300200 is an abundant number, since it is smaller than the sum of its proper divisors (275787774360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131131300200 is a wasteful number, since it uses less digits than its factorization.
131131300200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221547 (or 221538 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 15.
Adding to 131131300200 its reverse (2003131131), we get a palindrome (133134431331).
The spelling of 131131300200 in words is "one hundred thirty-one billion, one hundred thirty-one million, three hundred thousand, two hundred".
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