Math Corner #3 - Different Bases are Fun! Mystery Cache

My friend Chris is finishing his Masters degree in Math and teaches Pre-Calculus at UNLV.  He is a fellow hiker & when I brought up the idea of making a series of math-based puzzle caches, he happily agreed to help create this series.  Some will be fairly easy & some will be quite difficult.  No hiking needed for this one! Good luck!

N 36 A.D W 115 B.C

- A is a number in base ten which can be represented by a letter, 11, 32, 112 and more in different bases

- When a power of 10 in base ten is represented in base B, it has the same digit representation as 11 to the same exponent in base ten

- When C is represented in base B it has the same numerical digits as the ten times the seventh power of two does when written in base ten

- D is not a prime number or divisible by 3 but it does have a single digit prime factor. D is the base ten representation of a number which is a three digit palindrome in base x whose digits add to y where x and y are prime numbers (in base 10). Additionally, y is between x and 2x and the inner digit / outer digits of the palindrome are consecutive.