Base | Representation |
---|---|
bin | 111111011110101… |
… | …0011100101010010 |
3 | 12111102222012222200 |
4 | 1332331103211102 |
5 | 13330240001320 |
6 | 551205144030 |
7 | 103532463102 |
oct | 17675234522 |
9 | 5442865880 |
10 | 2130000210 |
11 | 9a3369758 |
12 | 4b53bb016 |
13 | 27c392c70 |
14 | 162c59202 |
15 | c6ee1290 |
hex | 7ef53952 |
2130000210 has 96 divisors (see below), whose sum is σ = 6314883120. Its totient is φ = 493461504.
The previous prime is 2130000203. The next prime is 2130000221. The reversal of 2130000210 is 120000312.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 374306409 + 1755693801 = 19347^2 + 41901^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 2130000192 and 2130000201.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33655 + ... + 73434.
Almost surely, 22130000210 is an apocalyptic number.
2130000210 is an abundant number, since it is smaller than the sum of its proper divisors (4184882910).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130000210 is a wasteful number, since it uses less digits than its factorization.
2130000210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107132 (or 107129 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 2130000210 is about 46151.9253119520. The cubic root of 2130000210 is about 1286.6483935080.
Adding to 2130000210 its reverse (120000312), we get a palindrome (2250000522).
The spelling of 2130000210 in words is "two billion, one hundred thirty million, two hundred ten", and thus it is an aban number.
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