Compton Wavelength of Proton

The Compton wavelength of a particle is given as $$\lambda = \frac{2\pi\hbar}{m_{p}c}$$ where $\hbar$ is the reduced Planck constant, $c$ the speed of light, and $m_p$ the proton mass in SI units. Multiplying the fraction with c leads to $$\lambda = \frac{2\pi\hbar c}{m_{p}c^{2}}$$ The mass of the proton is given as $$m_pc^2 = 938\,\mathrm{MeV}/c^2$$ $$\lambda = \frac{2\pi \cdot 197 \cdot 10^{-13}}{938\,\mathrm{MeV}}$$ This finally results in the following value for the Compton wavelength of a proton: $$\lambda = 1.3\cdot 10^{-13}\,\mathrm{cm}$$