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242053040213 is a prime number
BaseRepresentation
bin1110000101101101111…
…1000100100001010101
3212010210002111110201022
43201123133010201111
512431211034241323
6303110404410525
723326204615535
oct3413337044125
9763702443638
10242053040213
11937216a3796
123aab30a6a45
1319a96829c1a
14ba031d34c5
15646a2e94c8
hex385b7c4855

242053040213 has 2 divisors, whose sum is σ = 242053040214. Its totient is φ = 242053040212.

The previous prime is 242053040189. The next prime is 242053040233. The reversal of 242053040213 is 312040350242.

242053040213 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., 148118759044 + 93934281169 = 384862^2 + 306487^2 .

It is a cyclic number.

It is not a de Polignac number, because 242053040213 - 26 = 242053040149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242053040233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121026520106 + 121026520107.

It is an arithmetic number, because the mean of its divisors is an integer number (121026520107).

Almost surely, 2242053040213 is an apocalyptic number.

It is an amenable number.

242053040213 is a deficient number, since it is larger than the sum of its proper divisors (1).

242053040213 is an equidigital number, since it uses as much as digits as its factorization.

242053040213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 242053040213 its reverse (312040350242), we get a palindrome (554093390455).

The spelling of 242053040213 in words is "two hundred forty-two billion, fifty-three million, forty thousand, two hundred thirteen".