Is 31213009 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 31 213 009 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 31 213 009, the only two divisors are 1 and 31 213 009. Therefore 31 213 009 is a prime number.
As a consequence, 31 213 009 is only a multiple of 1 and 31 213 009.
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Since 31213009 is a prime number, 31213009 is also a deficient number, that is to say 31213009 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 31213009 without 31213009 itself (that is 1, by definition!).