We present the results of measurements of the total X-ray flux from the Andromeda galaxy (M31) in the 3-100 keV band based on data from the RXTE/PCA, INTEGRAL/ISGRI, and SWIFT/BAT space experiments. We show that the total emission from the galaxy has a multicomponent spectrum whose main characteristics are specified by binaries emitting in the optically thick and optically thin regimes. The galaxy's luminosity at energies 20-100 keV gives about 6% of its total luminosity in the 3-100 keV band. The emissivity of the stellar population in M31 is L ∼ 1.1 × 10 erg s M in the 2-20 keV band and L ∼ 8 × 10 erg s M in the 20-100 keV band. Since low-mass X-ray binaries at high luminosities pass into a soft state with a small fraction of hard X-ray emission, the detection of individual hard X-ray sources in M31 requires a sensitivity that is tens of times better (up to 10 erg s cm) than is needed to detect the total hard X-ray emission from the entire galaxy. Allowance for the contribution from the hard spectral component of the galaxy changes the galaxy's effective Compton temperature approximately by a factor of 2, from ∼1.1 to ∼2.1 keV. © 2014 Pleiades Publishing, Inc.