A Friedman number is a whole number which can be written in the form of an expression with same value by using its own digits. The expression can contain the symbols +, −, ×, (, ), and exponentiation, even repeatedly and at any place (e.g. the minus sign could appear on the far left), as well as concatenation of digits (e.g. 1,2 → 12).

For example, 2502 = 2 + 502 and 1024 = (4−2)10 are Friedman numbers.

Which of the following numbers is a Friedman number?
a) 27
b) 36
c) 16
d) 34
e) 125
f) 83
g) 112