Search a number
-
+
213120241 is a prime number
BaseRepresentation
bin11001011001111…
…11010011110001
3112212000122000021
430230333103301
5414024321431
633051523441
75165330545
oct1454772361
9485018007
10213120241
11aa334434
125b459581
13351cc169
1420439a25
1513a9bb11
hexcb3f4f1

213120241 has 2 divisors, whose sum is σ = 213120242. Its totient is φ = 213120240.

The previous prime is 213120239. The next prime is 213120247. The reversal of 213120241 is 142021312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201072400 + 12047841 = 14180^2 + 3471^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120241 - 21 = 213120239 is a prime.

Together with 213120239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213120247) 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, 106560120 + 106560121.

It is an arithmetic number, because the mean of its divisors is an integer number (106560121).

Almost surely, 2213120241 is an apocalyptic number.

It is an amenable number.

213120241 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120241 is an equidigital number, since it uses as much as digits as its factorization.

213120241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213120241 is about 14598.6383269125. The cubic root of 213120241 is about 597.3216180558.

Adding to 213120241 its reverse (142021312), we get a palindrome (355141553).

The spelling of 213120241 in words is "two hundred thirteen million, one hundred twenty thousand, two hundred forty-one".