Search a number
-
+
12301223313199 is a prime number
BaseRepresentation
bin1011001100000001101000…
…0010111011111100101111
31121112222121101212212202211
42303000122002323330233
53103020401132010244
642055034243031251
72406506531641552
oct263003202737457
947488541785684
1012301223313199
113a12a12960447
12146808696b527
136b3000ab6152
1430754d39c699
15164eb2bc2934
hexb301a0bbf2f

12301223313199 has 2 divisors, whose sum is σ = 12301223313200. Its totient is φ = 12301223313198.

The previous prime is 12301223313161. The next prime is 12301223313227. The reversal of 12301223313199 is 99131332210321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12301223313199 - 29 = 12301223312687 is a prime.

It is a super-2 number, since 2×123012233131992 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12301223313299) 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, 6150611656599 + 6150611656600.

It is an arithmetic number, because the mean of its divisors is an integer number (6150611656600).

Almost surely, 212301223313199 is an apocalyptic number.

12301223313199 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301223313199 is an equidigital number, since it uses as much as digits as its factorization.

12301223313199 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 40.

The spelling of 12301223313199 in words is "twelve trillion, three hundred one billion, two hundred twenty-three million, three hundred thirteen thousand, one hundred ninety-nine".