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242828028217 is a prime number
BaseRepresentation
bin1110001000100110101…
…1011010100100111001
3212012210002202221101201
43202021223122210321
512434302433400332
6303315331214201
723354335120015
oct3421153324471
9765702687351
10242828028217
1193a8a100745
123b08a747361
1319b8b2632c8
14ba780cb545
1564b33805e7
hex3889ada939

242828028217 has 2 divisors, whose sum is σ = 242828028218. Its totient is φ = 242828028216.

The previous prime is 242828028199. The next prime is 242828028227. The reversal of 242828028217 is 712820828242.

242828028217 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., 227081793961 + 15746234256 = 476531^2 + 125484^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-242828028217 is a prime.

It is a super-2 number, since 2×2428280282172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (242828028227) 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, 121414014108 + 121414014109.

It is an arithmetic number, because the mean of its divisors is an integer number (121414014109).

Almost surely, 2242828028217 is an apocalyptic number.

It is an amenable number.

242828028217 is a deficient number, since it is larger than the sum of its proper divisors (1).

242828028217 is an equidigital number, since it uses as much as digits as its factorization.

242828028217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 458752, while the sum is 46.

The spelling of 242828028217 in words is "two hundred forty-two billion, eight hundred twenty-eight million, twenty-eight thousand, two hundred seventeen".