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205286082097 is a prime number
BaseRepresentation
bin1011111100110000000…
…0010000011000110001
3201121212201222110220211
42333030000100120301
511330411214111342
6234150201104121
720555115623035
oct2771400203061
9647781873824
10205286082097
117a074706998
1233951a88041
13164875148c5
149d161721c5
15551758ac17
hex2fcc010631

205286082097 has 2 divisors, whose sum is σ = 205286082098. Its totient is φ = 205286082096.

The previous prime is 205286082083. The next prime is 205286082109. The reversal of 205286082097 is 790280682502.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 186023140416 + 19262941681 = 431304^2 + 138791^2 .

It is a cyclic number.

It is not a de Polignac number, because 205286082097 - 231 = 203138598449 is a prime.

It is a super-3 number, since 3×2052860820973 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205286082097.

It is not a weakly prime, because it can be changed into another prime (205286082007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102643041048 + 102643041049.

It is an arithmetic number, because the mean of its divisors is an integer number (102643041049).

Almost surely, 2205286082097 is an apocalyptic number.

It is an amenable number.

205286082097 is a deficient number, since it is larger than the sum of its proper divisors (1).

205286082097 is an equidigital number, since it uses as much as digits as its factorization.

205286082097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 205286082097 in words is "two hundred five billion, two hundred eighty-six million, eighty-two thousand, ninety-seven".