| Base | Representation |
|---|---|
| bin | 11001000010001… |
| … | …11111110010000 |
| 3 | 112122011121120011 |
| 4 | 30201013332100 |
| 5 | 412230310000 |
| 6 | 32501124304 |
| 7 | 5130025024 |
| oct | 1441077620 |
| 9 | 478147504 |
| 10 | 210010000 |
| 11 | a85aa692 |
| 12 | 5a3b9694 |
| 13 | 34680595 |
| 14 | 1dc6a384 |
| 15 | 136852ba |
| hex | c847f90 |
210010000 has 50 divisors (see below), whose sum is σ = 508479422. Its totient is φ = 84000000.
The previous prime is 210009997. The next prime is 210010001. The reversal of 210010000 is 10012.
It can be written as a sum of positive squares in 5 ways, for example, as 113891584 + 96118416 = 10672^2 + 9804^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a Harshad number since it is a multiple of its sum of digits (4).
It is not an unprimeable number, because it can be changed into a prime (210010001) 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 9 ways as a sum of consecutive naturals, for example, 501 + ... + 20500.
Almost surely, 2210010000 is an apocalyptic number.
210010000 is a gapful number since it is divisible by the number (20) 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 210010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254239711).
210010000 is an abundant number, since it is smaller than the sum of its proper divisors (298469422).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210010000 is an equidigital number, since it uses as much as digits as its factorization.
210010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21029 (or 21008 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 210010000 is about 14491.7217748617. The cubic root of 210010000 is about 594.4016299233.
Adding to 210010000 its reverse (10012), we get a palindrome (210020012).
It can be divided in two parts, 2100 and 10000, that added together give a square (12100 = 1102).
The spelling of 210010000 in words is "two hundred ten million, ten thousand".
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