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213323003219 is a prime number
BaseRepresentation
bin1100011010101100001…
…0101011010101010011
3202101121211212101002002
43012223002223111103
511443341142100334
6241555500144215
721261225415664
oct3065302532523
9671554771062
10213323003219
1182519301767
123541553806b
13171685b4031
14a4796cb36b
155837e2ab7e
hex31ab0ab553

213323003219 has 2 divisors, whose sum is σ = 213323003220. Its totient is φ = 213323003218.

The previous prime is 213323003149. The next prime is 213323003221. The reversal of 213323003219 is 912300323312.

213323003219 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213323003219 is a prime.

It is a super-2 number, since 2×2133230032192 (a number of 23 digits) contains 22 as substring.

Together with 213323003221, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213323003191 and 213323003200.

It is not a weakly prime, because it can be changed into another prime (213323003819) 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, 106661501609 + 106661501610.

It is an arithmetic number, because the mean of its divisors is an integer number (106661501610).

Almost surely, 2213323003219 is an apocalyptic number.

213323003219 is a deficient number, since it is larger than the sum of its proper divisors (1).

213323003219 is an equidigital number, since it uses as much as digits as its factorization.

213323003219 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 213323003219 in words is "two hundred thirteen billion, three hundred twenty-three million, three thousand, two hundred nineteen".