Search a number
-
+
204301 is a prime number
BaseRepresentation
bin110001111000001101
3101101020201
4301320031
523014201
64213501
71510426
oct617015
9341221
10204301
1112a549
129a291
1371cb6
145464d
1540801
hex31e0d

204301 has 2 divisors, whose sum is σ = 204302. Its totient is φ = 204300.

The previous prime is 204299. The next prime is 204311. The reversal of 204301 is 103402.

204301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (204311) can be obtained adding 204301 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203401 + 900 = 451^2 + 30^2 .

It is a cyclic number.

It is not a de Polignac number, because 204301 - 21 = 204299 is a prime.

Together with 204299, it forms a pair of twin primes.

204301 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102150 + 102151.

It is an arithmetic number, because the mean of its divisors is an integer number (102151).

2204301 is an apocalyptic number.

It is an amenable number.

204301 is a deficient number, since it is larger than the sum of its proper divisors (1).

204301 is an equidigital number, since it uses as much as digits as its factorization.

204301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 204301 is about 451.9966814037. The cubic root of 204301 is about 58.8965918223.

Adding to 204301 its reverse (103402), we get a palindrome (307703).

It can be divided in two parts, 204 and 301, that added together give a palindrome (505).

The spelling of 204301 in words is "two hundred four thousand, three hundred one", and thus it is an iban number.