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199845300833 is a prime number
BaseRepresentation
bin1011101000011110110…
…1010100101001100001
3201002211120012011010122
42322013231110221201
511233240344111313
6231450242210025
720303232013013
oct2720755245141
9632746164118
10199845300833
117783250a452
1232893953915
1315acb2663c9
14995b7321b3
1552e9ab7708
hex2e87b54a61

199845300833 has 2 divisors, whose sum is σ = 199845300834. Its totient is φ = 199845300832.

The previous prime is 199845300769. The next prime is 199845300877. The reversal of 199845300833 is 338003548991.

199845300833 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., 150084183649 + 49761117184 = 387407^2 + 223072^2 .

It is a cyclic number.

It is not a de Polignac number, because 199845300833 - 26 = 199845300769 is a prime.

It is a super-3 number, since 3×1998453008333 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (199845305833) 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, 99922650416 + 99922650417.

It is an arithmetic number, because the mean of its divisors is an integer number (99922650417).

Almost surely, 2199845300833 is an apocalyptic number.

It is an amenable number.

199845300833 is a deficient number, since it is larger than the sum of its proper divisors (1).

199845300833 is an equidigital number, since it uses as much as digits as its factorization.

199845300833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 53.

The spelling of 199845300833 in words is "one hundred ninety-nine billion, eight hundred forty-five million, three hundred thousand, eight hundred thirty-three".