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10301 is a prime number
BaseRepresentation
bin10100000111101
3112010112
42200331
5312201
6115405
742014
oct24075
915115
1010301
117815
125b65
1348c5
143a7b
1530bb
hex283d

10301 has 2 divisors, whose sum is σ = 10302. Its totient is φ = 10300.

The previous prime is 10289. The next prime is 10303.

10301 is nontrivially palindromic in base 10.

10301 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., 10201 + 100 = 101^2 + 10^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 10301 - 210 = 9277 is a prime.

It is a super-2 number, since 2×103012 = 212221202, which contains 22 as substring.

Together with 10303, it forms a pair of twin primes.

It is a Chen prime.

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

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150 + 5151.

It is an arithmetic number, because the mean of its divisors is an integer number (5151).

210301 is an apocalyptic number.

It is an amenable number.

10301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301 is an equidigital number, since it uses as much as digits as its factorization.

10301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 10301 is about 101.4938421777. The cubic root of 10301 is about 21.7583752481.

The spelling of 10301 in words is "ten thousand, three hundred one", and thus it is an iban number.