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12321300041 is a prime number
BaseRepresentation
bin10110111100110100…
…00001111001001001
31011210200200220010222
423132122001321021
5200213223100131
65354344115425
7614222215361
oct133632017111
934720626128
1012321300041
1152530640a6
12247a465b75
1312148ac6ab
1484c5779a1
154c1a8a87b
hex2de681e49

12321300041 has 2 divisors, whose sum is σ = 12321300042. Its totient is φ = 12321300040.

The previous prime is 12321300011. The next prime is 12321300049. The reversal of 12321300041 is 14000312321.

12321300041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12297922816 + 23377225 = 110896^2 + 4835^2 .

It is a cyclic number.

It is not a de Polignac number, because 12321300041 - 210 = 12321299017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12321299992 and 12321300019.

It is not a weakly prime, because it can be changed into another prime (12321300049) 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, 6160650020 + 6160650021.

It is an arithmetic number, because the mean of its divisors is an integer number (6160650021).

Almost surely, 212321300041 is an apocalyptic number.

It is an amenable number.

12321300041 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321300041 is an equidigital number, since it uses as much as digits as its factorization.

12321300041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12321300041 its reverse (14000312321), we get a palindrome (26321612362).

The spelling of 12321300041 in words is "twelve billion, three hundred twenty-one million, three hundred thousand, forty-one".