Base | Representation |
---|---|
bin | 1000001100110000… |
… | …1011111110110100 |
3 | 12200101120220020121 |
4 | 2003030023332310 |
5 | 14001424310400 |
6 | 1002223141324 |
7 | 105354164032 |
oct | 20314137664 |
9 | 5611526217 |
10 | 2201010100 |
11 | a2a45a513 |
12 | 515144844 |
13 | 290cc6353 |
14 | 16c461552 |
15 | cd36b21a |
hex | 8330bfb4 |
2201010100 has 36 divisors (see below), whose sum is σ = 4940894700. Its totient is φ = 850044160.
The previous prime is 2201010017. The next prime is 2201010107. The reversal of 2201010100 is 10101022.
2201010100 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 649636 + 2200360464 = 806^2 + 46908^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2201010107) 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, 376585 + ... + 382384.
It is an arithmetic number, because the mean of its divisors is an integer number (137247075).
Almost surely, 22201010100 is an apocalyptic number.
2201010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2201010100 is an abundant number, since it is smaller than the sum of its proper divisors (2739884600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201010100 is a wasteful number, since it uses less digits than its factorization.
2201010100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 759012 (or 759005 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
The square root of 2201010100 is about 46914.9240647366. The cubic root of 2201010100 is about 1300.7904660047.
Adding to 2201010100 its reverse (10101022), we get a palindrome (2211111122).
It can be divided in two parts, 2 and 201010100, that added together give a palindrome (201010102).
The spelling of 2201010100 in words is "two billion, two hundred one million, ten thousand, one hundred".
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