Base | Representation |
---|---|
bin | 10100010101110000… |
… | …11111101011001000 |
3 | 1001012000220111010212 |
4 | 22022320133223020 |
5 | 134331010001300 |
6 | 5003325300252 |
7 | 534415320164 |
oct | 121270375310 |
9 | 31160814125 |
10 | 10920000200 |
11 | 46a406785a |
12 | 2149104688 |
13 | 10504973a5 |
14 | 758407ca4 |
15 | 43da3a935 |
hex | 28ae1fac8 |
10920000200 has 48 divisors (see below), whose sum is σ = 25447837380. Its totient is φ = 4357877760.
The previous prime is 10920000193. The next prime is 10920000209. The reversal of 10920000200 is 200002901.
10920000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 1350856516 + 9569143684 = 36754^2 + 97822^2 .
It is not an unprimeable number, because it can be changed into a prime (10920000209) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23552 + ... + 149648.
Almost surely, 210920000200 is an apocalyptic number.
10920000200 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 10920000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12723918690).
10920000200 is an abundant number, since it is smaller than the sum of its proper divisors (14527837180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10920000200 is a wasteful number, since it uses less digits than its factorization.
10920000200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126546 (or 126537 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 14.
The spelling of 10920000200 in words is "ten billion, nine hundred twenty million, two hundred", and thus it is an aban number.
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