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213322312000333 is a prime number
BaseRepresentation
bin110000100000001111111000…
…101000010010001101001101
31000222022102011201000200001201
4300200033320220102031031
5210430033043333002313
62033410530042505501
762635012520020324
oct6040177050221515
91028272151020051
10213322312000333
1161a75536906438
121bb13362805291
139205291437b53
143a96bd81470bb
15199e009ae30dd
hexc203f8a1234d

213322312000333 has 2 divisors, whose sum is σ = 213322312000334. Its totient is φ = 213322312000332.

The previous prime is 213322312000249. The next prime is 213322312000531. The reversal of 213322312000333 is 333000213223312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163221014536804 + 50101297463529 = 12775798^2 + 7078227^2 .

It is a cyclic number.

It is not a de Polignac number, because 213322312000333 - 225 = 213322278445901 is a prime.

It is a super-2 number, since 2×2133223120003332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213322312000933) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106661156000166 + 106661156000167.

It is an arithmetic number, because the mean of its divisors is an integer number (106661156000167).

Almost surely, 2213322312000333 is an apocalyptic number.

It is an amenable number.

213322312000333 is a deficient number, since it is larger than the sum of its proper divisors (1).

213322312000333 is an equidigital number, since it uses as much as digits as its factorization.

213322312000333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 213322312000333 its reverse (333000213223312), we get a palindrome (546322525223645).

The spelling of 213322312000333 in words is "two hundred thirteen trillion, three hundred twenty-two billion, three hundred twelve million, three hundred thirty-three", and thus it is an aban number.