Is 163201321 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 163 201 321 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 163 201 321, the only two divisors are 1 and 163 201 321. Therefore 163 201 321 is a prime number.
As a consequence, 163 201 321 is only a multiple of 1 and 163 201 321.
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Since 163201321 is a prime number, 163201321 is also a deficient number, that is to say 163201321 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 163201321 without 163201321 itself (that is 1, by definition!).
