A license plate is in two parts, a two-digit number and a three-digit number. The two-digit number is prime and the sum of the two digits is a two-digit prime. The tens digit is greater than the units digit. In the three digit part, the digits are all odd and different. The sum of the three digits is palindromic. The sum of the first and third digit is one-half the sum of the first and second. Determine the license plate number.
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