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12002022322319 is a prime number
BaseRepresentation
bin1010111010100111000001…
…0001101111000010001111
31120111101022120102201111002
42232221300101233002033
53033120120203303234
641305353011250515
72346055205324651
oct256516021570217
946441276381432
1012002022322319
113908035788567
12141a0a4ba9a3b
13690a2a681403
142d6c884086d1
1515c30074227e
hexaea7046f08f

12002022322319 has 2 divisors, whose sum is σ = 12002022322320. Its totient is φ = 12002022322318.

The previous prime is 12002022322313. The next prime is 12002022322349. The reversal of 12002022322319 is 91322322020021.

12002022322319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12002022322319 is a prime.

It is a super-2 number, since 2×120020223223192 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002022322291 and 12002022322300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12002022322313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001011161159 + 6001011161160.

It is an arithmetic number, because the mean of its divisors is an integer number (6001011161160).

Almost surely, 212002022322319 is an apocalyptic number.

12002022322319 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002022322319 is an equidigital number, since it uses as much as digits as its factorization.

12002022322319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 29.

The spelling of 12002022322319 in words is "twelve trillion, two billion, twenty-two million, three hundred twenty-two thousand, three hundred nineteen".