Base | Representation |
---|---|
bin | 10111111000001… |
… | …01011001010000 |
3 | 111221220022002200 |
4 | 23330011121100 |
5 | 402234100422 |
6 | 31513043200 |
7 | 4651344225 |
oct | 1374053120 |
9 | 457808080 |
10 | 200300112 |
11 | a3078491 |
12 | 570b6500 |
13 | 32660a9c |
14 | 1c85d94c |
15 | 128b82ac |
hex | bf05650 |
200300112 has 60 divisors (see below), whose sum is σ = 564651360. Its totient is φ = 66279744.
The previous prime is 200300099. The next prime is 200300119. The reversal of 200300112 is 211003002.
It is a happy number.
It is a super-3 number, since 3×2003001123 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 200300094 and 200300103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (200300119) 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, 15013 + ... + 25019.
It is an arithmetic number, because the mean of its divisors is an integer number (9410856).
Almost surely, 2200300112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 200300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282325680).
200300112 is an abundant number, since it is smaller than the sum of its proper divisors (364351248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200300112 is a wasteful number, since it uses less digits than its factorization.
200300112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10160 (or 10151 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 200300112 is about 14152.7422077843. The cubic root of 200300112 is about 585.0959123915.
Adding to 200300112 its reverse (211003002), we get a palindrome (411303114).
The spelling of 200300112 in words is "two hundred million, three hundred thousand, one hundred twelve".
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