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Python 3, 43 bytes lambda n:len({*map(str(n).count,str(n))})<2 Try it online!
#1: Initial revision
# [Python 3], 43 bytes <!-- language-all: lang-python --> lambda n:len({*map(str(n).count,str(n))})<2 [Try it online!][TIO-m9394szr] [Python 3]: https://docs.python.org/3/ [TIO-m9394szr]: https://tio.run/##TY3LCsIwEEX3fsUsEwnSzCR9oV@iLuqjKLRpqREq4rfHSUvRLJIzmcO9/cvfOkeh3h1CU7WnSwWubK5OvNdt1YuHH4STm3P3dF7Ng/zILYa6G2CEu4O9VoCooMjjy4BkFJCxabwnJmsVmDRl1hg3WV5M3kQJ/2pEIhP3EZmJkZBQo2a0xlpjDKcUy1GQZdxoUxtDkSV26SfkM@azuxT8JcTaRGOClNCxXEE/3J0XtRilDF8 "Python 3 – Try It Online"