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206305874041 is a prime number
BaseRepresentation
bin1100000000100011001…
…0011101000001111001
3201201111210220021110211
43000020302131001321
511340003300432131
6234435310511121
720622310665301
oct3001062350171
9651453807424
10206305874041
117a548318753
1233b975054a1
13165ba8915a7
149db1792601
155576d7b5b1
hex3008c9d079

206305874041 has 2 divisors, whose sum is σ = 206305874042. Its totient is φ = 206305874040.

The previous prime is 206305874039. The next prime is 206305874063. The reversal of 206305874041 is 140478503602.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136754998416 + 69550875625 = 369804^2 + 263725^2 .

It is a cyclic number.

It is not a de Polignac number, because 206305874041 - 21 = 206305874039 is a prime.

It is a super-2 number, since 2×2063058740412 (a number of 23 digits) contains 22 as substring.

Together with 206305874039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 206305873985 and 206305874003.

It is not a weakly prime, because it can be changed into another prime (206305872041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103152937020 + 103152937021.

It is an arithmetic number, because the mean of its divisors is an integer number (103152937021).

Almost surely, 2206305874041 is an apocalyptic number.

It is an amenable number.

206305874041 is a deficient number, since it is larger than the sum of its proper divisors (1).

206305874041 is an equidigital number, since it uses as much as digits as its factorization.

206305874041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 206305874041 in words is "two hundred six billion, three hundred five million, eight hundred seventy-four thousand, forty-one".