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208240848241 is a prime number
BaseRepresentation
bin1100000111110000011…
…1110010110101110001
3201220111122220011001221
43001330013302311301
511402434124120431
6235355312025041
721021255001426
oct3017407626561
9656448804057
10208240848241
1180350591488
1234437532181
131683871c23a
14a116761d4d
15563bb97111
hex307c1f2d71

208240848241 has 2 divisors, whose sum is σ = 208240848242. Its totient is φ = 208240848240.

The previous prime is 208240848199. The next prime is 208240848269. The reversal of 208240848241 is 142848042802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 108939603600 + 99301244641 = 330060^2 + 315121^2 .

It is a cyclic number.

It is not a de Polignac number, because 208240848241 - 217 = 208240717169 is a prime.

It is a super-2 number, since 2×2082408482412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (208240848281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104120424120 + 104120424121.

It is an arithmetic number, because the mean of its divisors is an integer number (104120424121).

Almost surely, 2208240848241 is an apocalyptic number.

It is an amenable number.

208240848241 is a deficient number, since it is larger than the sum of its proper divisors (1).

208240848241 is an equidigital number, since it uses as much as digits as its factorization.

208240848241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 262144, while the sum is 43.

The spelling of 208240848241 in words is "two hundred eight billion, two hundred forty million, eight hundred forty-eight thousand, two hundred forty-one".