What is the next number in the following series?

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

Having an anthropological background will help you with this answer. How you ask? Observing in the sequence all digits are 1-4 is suggestive, this seems to indicate to me a hand (base 5) numbering system. Converting to base 10 yields the sequence 1,2,4,8,16,32.. or obviously 2^n-1 so the next term in base 10 is 2^6 = 64, converting back to base 5 gives the answer, 224.