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213302332049 is a prime number
BaseRepresentation
bin1100011010100111001…
…1110100101010010001
3202101120101222011120012
43012221303310222101
511443320344111144
6241553441124305
721260554623122
oct3065163645221
9671511864505
10213302332049
1182508673154
123540a629695
1317164227281
14a476a6a049
1558361e5e9e
hex31a9cf4a91

213302332049 has 2 divisors, whose sum is σ = 213302332050. Its totient is φ = 213302332048.

The previous prime is 213302332043. The next prime is 213302332147. The reversal of 213302332049 is 940233203312.

213302332049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196809351424 + 16492980625 = 443632^2 + 128425^2 .

It is a cyclic number.

It is not a de Polignac number, because 213302332049 - 28 = 213302331793 is a prime.

It is not a weakly prime, because it can be changed into another prime (213302332043) 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, 106651166024 + 106651166025.

It is an arithmetic number, because the mean of its divisors is an integer number (106651166025).

Almost surely, 2213302332049 is an apocalyptic number.

It is an amenable number.

213302332049 is a deficient number, since it is larger than the sum of its proper divisors (1).

213302332049 is an equidigital number, since it uses as much as digits as its factorization.

213302332049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 213302332049 in words is "two hundred thirteen billion, three hundred two million, three hundred thirty-two thousand, forty-nine".