| Base | Representation |
|---|---|
| bin | 100110100001… |
| … | …110111101000 |
| 3 | 201000010212111 |
| 4 | 212201313220 |
| 5 | 10041201300 |
| 6 | 1000252104 |
| 7 | 151564435 |
| oct | 46416750 |
| 9 | 21003774 |
| 10 | 10100200 |
| 11 | 5779480 |
| 12 | 3471034 |
| 13 | 2128366 |
| 14 | 14acb8c |
| 15 | d479ba |
| hex | 9a1de8 |
10100200 has 48 divisors (see below), whose sum is σ = 25623360. Its totient is φ = 3672000.
The previous prime is 10100179. The next prime is 10100201. The reversal of 10100200 is 200101.
10100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 10100200.
It is not an unprimeable number, because it can be changed into a prime (10100201) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96 + ... + 4495.
It is an arithmetic number, because the mean of its divisors is an integer number (533820).
Almost surely, 210100200 is an apocalyptic number.
10100200 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 10100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12811680).
10100200 is an abundant number, since it is smaller than the sum of its proper divisors (15523160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10100200 is a wasteful number, since it uses less digits than its factorization.
10100200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4618 (or 4609 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 10100200 is about 3178.0811820971. The cubic root of 10100200 is about 216.1606600787.
Adding to 10100200 its reverse (200101), we get a palindrome (10300301).
Subtracting from 10100200 its reverse (200101), we obtain a palindrome (9900099).
The spelling of 10100200 in words is "ten million, one hundred thousand, two hundred".
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