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213021030337 is a prime number
BaseRepresentation
bin1100011001100100001…
…0101111011111000001
3202100211210122120011021
43012121002233133001
511442231340432322
6241505511545441
721250600611403
oct3063102573701
9670753576137
10213021030337
11823838aaaa5
123535038b281
131711ab7525b
14a44b562b73
15581b67c4c7
hex31990af7c1

213021030337 has 2 divisors, whose sum is σ = 213021030338. Its totient is φ = 213021030336.

The previous prime is 213021030289. The next prime is 213021030377. The reversal of 213021030337 is 733030120312.

213021030337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208584937521 + 4436092816 = 456711^2 + 66604^2 .

It is a cyclic number.

It is not a de Polignac number, because 213021030337 - 223 = 213012641729 is a prime.

It is not a weakly prime, because it can be changed into another prime (213021030377) by changing a digit.

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 as a sum of consecutive naturals, namely, 106510515168 + 106510515169.

It is an arithmetic number, because the mean of its divisors is an integer number (106510515169).

Almost surely, 2213021030337 is an apocalyptic number.

It is an amenable number.

213021030337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213021030337 is an equidigital number, since it uses as much as digits as its factorization.

213021030337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 25.

Adding to 213021030337 its reverse (733030120312), we get a palindrome (946051150649).

The spelling of 213021030337 in words is "two hundred thirteen billion, twenty-one million, thirty thousand, three hundred thirty-seven".