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12301 is a prime number
BaseRepresentation
bin11000000001101
3121212121
43000031
5343201
6132541
750602
oct30015
917777
1012301
119273
127151
1357a3
1446a9
1539a1
hex300d

12301 has 2 divisors, whose sum is σ = 12302. Its totient is φ = 12300.

The previous prime is 12289. The next prime is 12323. The reversal of 12301 is 10321.

12301 is nontrivially palindromic in base 3.

12301 is an esthetic number in base 3, because in such base it adjacent digits differ by 1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9801 + 2500 = 99^2 + 50^2 .

It is an emirp because it is prime and its reverse (10321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12301 - 25 = 12269 is a prime.

It is an alternating number because its digits alternate between odd and even.

12301 is an undulating number in base 3.

12301 is a lucky number.

It is a plaindrome in base 9.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6150 + 6151.

It is an arithmetic number, because the mean of its divisors is an integer number (6151).

212301 is an apocalyptic number.

It is an amenable number.

12301 is a deficient number, since it is larger than the sum of its proper divisors (1).

12301 is an equidigital number, since it uses as much as digits as its factorization.

12301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 12301 is about 110.9098733206. The cubic root of 12301 is about 23.0841279498.

The spelling of 12301 in words is "twelve thousand, three hundred one", and is thus an iban number.