Is 42119201 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 42 119 201 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 42 119 201, the only two divisors are 1 and 42 119 201. Therefore 42 119 201 is a prime number.
As a consequence, 42 119 201 is only a multiple of 1 and 42 119 201.
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Since 42119201 is a prime number, 42119201 is also a deficient number, that is to say 42119201 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 42119201 without 42119201 itself (that is 1, by definition!).