What is the next number in the following series?

1, 2, 4, 13, 31, 112, ?

Considering the numbers in base 5 and converting into decimal, we obtain:

1, 2, 4, 8, 16 , 32

Since each term is precisely twice the preceeding term, it follows that the value of the next term in the decimal system must be 64, which is 224 when expressed in base 5.

Consequently, the required missing term is 224.