Is 201009967 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 201 009 967 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 201 009 967, the only two divisors are 1 and 201 009 967. Therefore 201 009 967 is a prime number.
As a consequence, 201 009 967 is only a multiple of 1 and 201 009 967.
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Since 201009967 is a prime number, 201009967 is also a deficient number, that is to say 201009967 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 201009967 without 201009967 itself (that is 1, by definition!).
