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213300202033 is a prime number
BaseRepresentation
bin1100011010100110101…
…1101100101000110001
3202101120020221221201201
43012221223230220301
511443314322431113
6241553323331201
721260530542142
oct3065153545061
9671506857651
10213300202033
1182507448906
1235409980b01
131716395c8c9
14a476673ac9
155835e24cdd
hex31a9aeca31

213300202033 has 2 divisors, whose sum is σ = 213300202034. Its totient is φ = 213300202032.

The previous prime is 213300202013. The next prime is 213300202051. The reversal of 213300202033 is 330202003312.

It is a happy number.

213300202033 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., 211174254369 + 2125947664 = 459537^2 + 46108^2 .

It is a cyclic number.

It is not a de Polignac number, because 213300202033 - 25 = 213300202001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213300202033.

It is not a weakly prime, because it can be changed into another prime (213300202013) 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, 106650101016 + 106650101017.

It is an arithmetic number, because the mean of its divisors is an integer number (106650101017).

Almost surely, 2213300202033 is an apocalyptic number.

It is an amenable number.

213300202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

213300202033 is an equidigital number, since it uses as much as digits as its factorization.

213300202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 213300202033 its reverse (330202003312), we get a palindrome (543502205345).

The spelling of 213300202033 in words is "two hundred thirteen billion, three hundred million, two hundred two thousand, thirty-three".