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212333213009 is a prime number
BaseRepresentation
bin1100010111000000001…
…0111011010101010001
3202022001212101211011102
43011300002323111101
511434324300304014
6241313341354145
721224546350151
oct3056002732521
9668055354142
10212333213009
1182060621725
1235199b68955
131703b510058
14a3c407a761
1557cb0b48de
hex31700bb551

212333213009 has 2 divisors, whose sum is σ = 212333213010. Its totient is φ = 212333213008.

The previous prime is 212333212991. The next prime is 212333213047. The reversal of 212333213009 is 900312333212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205082179600 + 7251033409 = 452860^2 + 85153^2 .

It is a cyclic number.

It is not a de Polignac number, because 212333213009 - 28 = 212333212753 is a prime.

It is not a weakly prime, because it can be changed into another prime (212333243009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106166606504 + 106166606505.

It is an arithmetic number, because the mean of its divisors is an integer number (106166606505).

Almost surely, 2212333213009 is an apocalyptic number.

It is an amenable number.

212333213009 is a deficient number, since it is larger than the sum of its proper divisors (1).

212333213009 is an equidigital number, since it uses as much as digits as its factorization.

212333213009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 212333213009 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred thirteen thousand, nine".