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213300012073 is a prime number
BaseRepresentation
bin1100011010100110101…
…0111110010000101001
3202101120020121022011011
43012221222332100221
511443314300341243
6241553315303521
721260526121261
oct3065152762051
9671506538134
10213300012073
1182507329115
12354098aaba1
13171638c42c5
14a4766247a1
155835dd889d
hex31a9abe429

213300012073 has 2 divisors, whose sum is σ = 213300012074. Its totient is φ = 213300012072.

The previous prime is 213300011989. The next prime is 213300012139. The reversal of 213300012073 is 370210003312.

It is a happy number.

213300012073 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., 212804148249 + 495863824 = 461307^2 + 22268^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213300012073 is a prime.

It is not a weakly prime, because it can be changed into another prime (213300012473) 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, 106650006036 + 106650006037.

It is an arithmetic number, because the mean of its divisors is an integer number (106650006037).

Almost surely, 2213300012073 is an apocalyptic number.

It is an amenable number.

213300012073 is a deficient number, since it is larger than the sum of its proper divisors (1).

213300012073 is an equidigital number, since it uses as much as digits as its factorization.

213300012073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 22.

Adding to 213300012073 its reverse (370210003312), we get a palindrome (583510015385).

The spelling of 213300012073 in words is "two hundred thirteen billion, three hundred million, twelve thousand, seventy-three".