Base | Representation |
---|---|
bin | 11001000010001… |
… | …01100101010101 |
3 | 112122011010010200 |
4 | 30201011211111 |
5 | 412230001323 |
6 | 32501011113 |
7 | 5126654343 |
oct | 1441054525 |
9 | 478133120 |
10 | 210000213 |
11 | a85a32a5 |
12 | 5a3b3a99 |
13 | 34678ca7 |
14 | 1dc66993 |
15 | 13682443 |
hex | c845955 |
210000213 has 6 divisors (see below), whose sum is σ = 303333654. Its totient is φ = 140000136.
The previous prime is 210000199. The next prime is 210000239. The reversal of 210000213 is 312000012.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 166874724 + 43125489 = 12918^2 + 6567^2 .
It is not a de Polignac number, because 210000213 - 26 = 210000149 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23333357 = 210000213 / (2 + 1 + 0 + 0 + 0 + 0 + 2 + 1 + 3).
It is a junction number, because it is equal to n+sod(n) for n = 210000195 and 210000204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (210000113) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11666670 + ... + 11666687.
It is an arithmetic number, because the mean of its divisors is an integer number (50555609).
Almost surely, 2210000213 is an apocalyptic number.
It is an amenable number.
210000213 is a deficient number, since it is larger than the sum of its proper divisors (93333441).
210000213 is a wasteful number, since it uses less digits than its factorization.
210000213 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23333363 (or 23333360 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 210000213 is about 14491.3840953858. The cubic root of 210000213 is about 594.3923962374.
Adding to 210000213 its reverse (312000012), we get a palindrome (522000225).
The spelling of 210000213 in words is "two hundred ten million, two hundred thirteen", and thus it is an aban number.
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