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2213031333217 is a prime number
BaseRepresentation
bin100000001101000010111…
…100100100110101100001
321211120012221212212000111
4200031002330210311201
5242224242010130332
64412352541451321
7315612656650135
oct40150274446541
97746187785014
102213031333217
117835a5548561
122b8a97870b41
131308c35a5cb3
147917b5353c5
153c8754e2947
hex20342f24d61

2213031333217 has 2 divisors, whose sum is σ = 2213031333218. Its totient is φ = 2213031333216.

The previous prime is 2213031333211. The next prime is 2213031333259. The reversal of 2213031333217 is 7123331303122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1518277409856 + 694753923361 = 1232184^2 + 833519^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213031333217 - 211 = 2213031331169 is a prime.

It is not a weakly prime, because it can be changed into another prime (2213031333211) 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, 1106515666608 + 1106515666609.

It is an arithmetic number, because the mean of its divisors is an integer number (1106515666609).

Almost surely, 22213031333217 is an apocalyptic number.

It is an amenable number.

2213031333217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213031333217 is an equidigital number, since it uses as much as digits as its factorization.

2213031333217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13608, while the sum is 31.

Adding to 2213031333217 its reverse (7123331303122), we get a palindrome (9336362636339).

The spelling of 2213031333217 in words is "two trillion, two hundred thirteen billion, thirty-one million, three hundred thirty-three thousand, two hundred seventeen".