Is 82016101 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 82 016 101 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 82 016 101, the only two divisors are 1 and 82 016 101. Therefore 82 016 101 is a prime number.
As a consequence, 82 016 101 is only a multiple of 1 and 82 016 101.
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Since 82016101 is a prime number, 82016101 is also a deficient number, that is to say 82016101 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 82016101 without 82016101 itself (that is 1, by definition!).