My favourite palindrome
Allow me to show you one of my most favourite palindromic numbers
323323
Why ? Because it can be expressed as the result of some remarkable and unrelated operations.
323323 
7 x 11 x 13 x 17 x 19 Product of 5 successive primes A046303 Palindromes with exactly 5 distinct prime factors A046395 
1^{7} + 2^{2} + 3^{8} + 4^{9} + 5^{5} + 6^{6} + 7^{1} + 8^{4} + 9^{3}

323323 is a substring of its base 4 representation 1032{323323}. a(n) is substring of its base 4 representation A038104 
The string 323323 was found at position 985589 counting from the first digit after the decimal point of . [ PiSearch Page ] First location of palindrome a(n) in Pi is palindromic A038101 
Occurs in the curious palindrome products (detected by Hugo Sánchez) of prime 333667 with palindromic pattern 6(3)_{n}6 with n equal to 4 : 333667 * 633336 = 211{323323}112
Note that 211 added to 112 gives 323 again !

The first is as the product of five consecutive primes !
The second as a sum of the nine digits (p.2) 1 through 9 [ 123456789 ] each raised to a power.
The different exponents thereby forming a combination of these same nine digits ! [ 728956143 ]
The third and the fourth are selfexplanatory...