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199998990097 is a prime number
BaseRepresentation
bin1011101001000011011…
…1100110011100010001
3201010020021101101011121
42322100313212130101
511234044220140342
6231513412242241
720310106236454
oct2722067463421
9633207341147
10199998990097
1177901241475
1232917310381
1315b240575ba
149973cdb49b
155308325067
hex2e90de6711

199998990097 has 2 divisors, whose sum is σ = 199998990098. Its totient is φ = 199998990096.

The previous prime is 199998990053. The next prime is 199998990101. The reversal of 199998990097 is 790099899991.

199998990097 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., 177214898961 + 22784091136 = 420969^2 + 150944^2 .

It is an emirp because it is prime and its reverse (790099899991) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 199998990097 - 227 = 199864772369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 199998989999 and 199998990026.

It is not a weakly prime, because it can be changed into another prime (199998990497) 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, 99999495048 + 99999495049.

It is an arithmetic number, because the mean of its divisors is an integer number (99999495049).

Almost surely, 2199998990097 is an apocalyptic number.

It is an amenable number.

199998990097 is a deficient number, since it is larger than the sum of its proper divisors (1).

199998990097 is an equidigital number, since it uses as much as digits as its factorization.

199998990097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 267846264, while the sum is 79.

The spelling of 199998990097 in words is "one hundred ninety-nine billion, nine hundred ninety-eight million, nine hundred ninety thousand, ninety-seven".