Base | Representation |
---|---|
bin | 1100000110010010111011… |
… | …1000001100110010100100 |
3 | 1202002200120011122211100220 |
4 | 3001210232320030302210 |
5 | 3220421102322400400 |
6 | 44142554203004340 |
7 | 2542026254040552 |
oct | 301445670146244 |
9 | 52080504584326 |
10 | 13302300200100 |
11 | 426952374440a |
12 | 15aa0a95096b0 |
13 | 75652b1cc272 |
14 | 33db98848bd2 |
15 | 181053c567a0 |
hex | c192ee0cca4 |
13302300200100 has 288 divisors, whose sum is σ = 39955376442240. Its totient is φ = 3412921344000.
The previous prime is 13302300200089. The next prime is 13302300200107. The reversal of 13302300200100 is 100200320331.
It is a super-2 number, since 2×133023002001002 (a number of 27 digits) contains 22 as substring.
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 13302300200100.
It is not an unprimeable number, because it can be changed into a prime (13302300200107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3507063804 + ... + 3507067596.
It is an arithmetic number, because the mean of its divisors is an integer number (138733945980).
Almost surely, 213302300200100 is an apocalyptic number.
13302300200100 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 13302300200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19977688221120).
13302300200100 is an abundant number, since it is smaller than the sum of its proper divisors (26653076242140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13302300200100 is a wasteful number, since it uses less digits than its factorization.
13302300200100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5151 (or 5144 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 13302300200100 its reverse (100200320331), we get a palindrome (13402500520431).
The spelling of 13302300200100 in words is "thirteen trillion, three hundred two billion, three hundred million, two hundred thousand, one hundred".
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