Search a number
-
+
2243110141 is a prime number
BaseRepresentation
bin1000010110110011…
…0010010011111101
312210022210210122101
42011230302103331
514043214011031
61010325345101
7106405056466
oct20554622375
95708723571
102243110141
11a511a4938
12527268191
13299946a0c
14173c9dd6d
15d1dd5361
hex85b324fd

2243110141 has 2 divisors, whose sum is σ = 2243110142. Its totient is φ = 2243110140.

The previous prime is 2243110139. The next prime is 2243110147. The reversal of 2243110141 is 1410113422.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1905322500 + 337787641 = 43650^2 + 18379^2 .

It is a cyclic number.

It is not a de Polignac number, because 2243110141 - 21 = 2243110139 is a prime.

Together with 2243110139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2243110147) 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, 1121555070 + 1121555071.

It is an arithmetic number, because the mean of its divisors is an integer number (1121555071).

Almost surely, 22243110141 is an apocalyptic number.

It is an amenable number.

2243110141 is a deficient number, since it is larger than the sum of its proper divisors (1).

2243110141 is an equidigital number, since it uses as much as digits as its factorization.

2243110141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2243110141 is about 47361.4837288698. The cubic root of 2243110141 is about 1309.0318081587.

Adding to 2243110141 its reverse (1410113422), we get a palindrome (3653223563).

The spelling of 2243110141 in words is "two billion, two hundred forty-three million, one hundred ten thousand, one hundred forty-one".