It shall be the duty of each provider participating in the medical assistance program to keep and maintain books, documents, and other records as prescribed by the division of Medicaid in substantiation of its claim for services rendered Medicaid recipients, and such books, documents, and other records shall be kept and maintained for a period of five (5) years or for whatever longer period as may be required or prescribed under federal or state statutes and shall be subject to audit by the division. The division shall be entitled to full recoupment of the amount it has paid any provider of medical service who has failed to keep or maintain records as required herein.