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12223302231313 is a prime number
BaseRepresentation
bin1011000111011111010110…
…0101100110010100010001
31121021112110221121210022001
42301313311211212110101
53100231310332400223
641555150231514001
72401050552450655
oct261676545462421
947245427553261
1012223302231313
1139929674a3308
121454b5b228901
136a886359a4c4
1430387a782a65
15162e51ea49ad
hexb1df5966511

12223302231313 has 2 divisors, whose sum is σ = 12223302231314. Its totient is φ = 12223302231312.

The previous prime is 12223302231307. The next prime is 12223302231359. The reversal of 12223302231313 is 31313220332221.

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., 10119575352384 + 2103726878929 = 3181128^2 + 1450423^2 .

It is a cyclic number.

It is not a de Polignac number, because 12223302231313 - 217 = 12223302100241 is a prime.

It is not a weakly prime, because it can be changed into another prime (12223302231713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111651115656 + 6111651115657.

It is an arithmetic number, because the mean of its divisors is an integer number (6111651115657).

Almost surely, 212223302231313 is an apocalyptic number.

It is an amenable number.

12223302231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223302231313 is an equidigital number, since it uses as much as digits as its factorization.

12223302231313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12223302231313 its reverse (31313220332221), we get a palindrome (43536522563534).

The spelling of 12223302231313 in words is "twelve trillion, two hundred twenty-three billion, three hundred two million, two hundred thirty-one thousand, three hundred thirteen".