Search a number
-
+
204849313 is a prime number
BaseRepresentation
bin11000011010111…
…00000010100001
3112021110102102121
430031130002201
5404420134223
632154344241
75035122214
oct1415340241
9467412377
10204849313
11a56a5359
125872b081
1333594616
141d2c577b
1512eb615d
hexc35c0a1

204849313 has 2 divisors, whose sum is σ = 204849314. Its totient is φ = 204849312.

The previous prime is 204849299. The next prime is 204849319. The reversal of 204849313 is 313948402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136819809 + 68029504 = 11697^2 + 8248^2 .

It is a cyclic number.

It is not a de Polignac number, because 204849313 - 221 = 202752161 is a prime.

It is not a weakly prime, because it can be changed into another prime (204849319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102424656 + 102424657.

It is an arithmetic number, because the mean of its divisors is an integer number (102424657).

Almost surely, 2204849313 is an apocalyptic number.

It is an amenable number.

204849313 is a deficient number, since it is larger than the sum of its proper divisors (1).

204849313 is an equidigital number, since it uses as much as digits as its factorization.

204849313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 204849313 is about 14312.5578776122. The cubic root of 204849313 is about 589.4923460496.

The spelling of 204849313 in words is "two hundred four million, eight hundred forty-nine thousand, three hundred thirteen".