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213302320001 is a prime number
BaseRepresentation
bin1100011010100111001…
…1110001101110000001
3202101120101221120000222
43012221303301232001
511443320343220001
6241553440552425
721260554543031
oct3065163615601
9671511846028
10213302320001
11825086650a1
123540a622715
1317164221944
14a476a658c1
1558361e261b
hex31a9cf1b81

213302320001 has 2 divisors, whose sum is σ = 213302320002. Its totient is φ = 213302320000.

The previous prime is 213302319949. The next prime is 213302320037. The reversal of 213302320001 is 100023203312.

213302320001 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., 134835105601 + 78467214400 = 367199^2 + 280120^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213302320001 is a prime.

It is not a weakly prime, because it can be changed into another prime (213302380001) 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, 106651160000 + 106651160001.

It is an arithmetic number, because the mean of its divisors is an integer number (106651160001).

Almost surely, 2213302320001 is an apocalyptic number.

It is an amenable number.

213302320001 is a deficient number, since it is larger than the sum of its proper divisors (1).

213302320001 is an equidigital number, since it uses as much as digits as its factorization.

213302320001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213302320001 its reverse (100023203312), we get a palindrome (313325523313).

The spelling of 213302320001 in words is "two hundred thirteen billion, three hundred two million, three hundred twenty thousand, one".