Prove whether this number is or is not prime Is the number 2438100000001 composite or prime?
Please first give a hint if you already know the answer.thanks!
 A: Hint 1: Notice that $243$ and $81$ are powers of $3$, so the number has the form
$$3^5\cdot10^{10}+3^4\cdot10^8+1$$

Hint 2: $x^5+x^4+1$ is reducible.

Hint 3: $x^5+x^4+1=(x^5+x^4+x^3)+(1-x^3)$.
A: To answer the question: $2438100000001$ is a composite number. 
$2438100000001 = 73 \dot\  829 \dot\  1237 \dot \  32569$
A: Hint: Multiply 1025473 by 2377537. Neither of these two numbers is prime, but you should easily be able to factor them with the help of an ordinary scientific calculator and a list of small primes.
EDIT: You said 

Please first give a hint if you already know the answer.

That's exactly what I'm doing by showing you that 2438100000001 is divisible by numbers other than 1 and itself. I already know the answer because this number, as forbidding as it may look, it's quite small compared to the numbers computers are routinely factoring these days. If you don't have Mathematica, try putting this question to Wolfram Alpha: "factor 2438100000001." With a decent Internet connection, it should give you the answer after only a very short wait.
