Search a number
-
+
12303320321353 is a prime number
BaseRepresentation
bin1011001100001001011100…
…0010011000110101001001
31121120012000112202221011111
42303002113002120311021
53103034200000240403
642100022313130321
72406612514135135
oct263022702306511
947505015687144
1012303320321353
113a13899635736
1214685710b99a1
136b3276397289
143076abaaa3c5
15165086d4856d
hexb3097098d49

12303320321353 has 2 divisors, whose sum is σ = 12303320321354. Its totient is φ = 12303320321352.

The previous prime is 12303320321321. The next prime is 12303320321401. The reversal of 12303320321353 is 35312302330321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9745710163344 + 2557610158009 = 3121812^2 + 1599253^2 .

It is a cyclic number.

It is not a de Polignac number, because 12303320321353 - 25 = 12303320321321 is a prime.

It is not a weakly prime, because it can be changed into another prime (12303320321653) 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, 6151660160676 + 6151660160677.

It is an arithmetic number, because the mean of its divisors is an integer number (6151660160677).

Almost surely, 212303320321353 is an apocalyptic number.

It is an amenable number.

12303320321353 is a deficient number, since it is larger than the sum of its proper divisors (1).

12303320321353 is an equidigital number, since it uses as much as digits as its factorization.

12303320321353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 31.

Adding to 12303320321353 its reverse (35312302330321), we get a palindrome (47615622651674).

The spelling of 12303320321353 in words is "twelve trillion, three hundred three billion, three hundred twenty million, three hundred twenty-one thousand, three hundred fifty-three".