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288119052841 is a prime number
BaseRepresentation
bin1000011000101010011…
…10111101101000101001
31000112200111211101012011
410030111032331220221
514210031434142331
6340205435115521
726546600353414
oct4142516755051
91015614741164
10288119052841
1110121076a904
1247a0a5a2ba1
132122854bb69
14dd33274b7b
1577646083b1
hex43153bda29

288119052841 has 2 divisors, whose sum is σ = 288119052842. Its totient is φ = 288119052840.

The previous prime is 288119052839. The next prime is 288119052853. The reversal of 288119052841 is 148250911882.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 259314174441 + 28804878400 = 509229^2 + 169720^2 .

It is a cyclic number.

It is not a de Polignac number, because 288119052841 - 21 = 288119052839 is a prime.

Together with 288119052839, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (288119052541) 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, 144059526420 + 144059526421.

It is an arithmetic number, because the mean of its divisors is an integer number (144059526421).

Almost surely, 2288119052841 is an apocalyptic number.

It is an amenable number.

288119052841 is a deficient number, since it is larger than the sum of its proper divisors (1).

288119052841 is an equidigital number, since it uses as much as digits as its factorization.

288119052841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 288119052841 in words is "two hundred eighty-eight billion, one hundred nineteen million, fifty-two thousand, eight hundred forty-one".