Base | Representation |
---|---|
bin | 111110100101011… |
… | …1010010010110010 |
3 | 12102100112200012000 |
4 | 1331022322102302 |
5 | 13300100342320 |
6 | 544214314430 |
7 | 103016544402 |
oct | 17512722262 |
9 | 5370480160 |
10 | 2100012210 |
11 | 98844728a |
12 | 4a7358a16 |
13 | 2760c359a |
14 | 15cc90802 |
15 | c456ac90 |
hex | 7d2ba4b2 |
2100012210 has 128 divisors (see below), whose sum is σ = 6074611200. Its totient is φ = 514160640.
The previous prime is 2100012197. The next prime is 2100012247. The reversal of 2100012210 is 122100012.
It is a Harshad number since it is a multiple of its sum of digits (9).
2100012210 is a modest number, since divided by 12210 gives 2100 as remainder.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 2100012192 and 2100012201.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 182611 + ... + 193769.
It is an arithmetic number, because the mean of its divisors is an integer number (47457900).
Almost surely, 22100012210 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2100012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).
2100012210 is an abundant number, since it is smaller than the sum of its proper divisors (3974598990).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100012210 is a wasteful number, since it uses less digits than its factorization.
2100012210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11233 (or 11227 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2100012210 is about 45825.8901713867. The cubic root of 2100012210 is about 1280.5816468671.
Adding to 2100012210 its reverse (122100012), we get a palindrome (2222112222).
The spelling of 2100012210 in words is "two billion, one hundred million, twelve thousand, two hundred ten".
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