Search a number
-
+
3031109293 is a prime number
BaseRepresentation
bin1011010010101011…
…0000111010101101
321211020120022021011
42310222300322231
522201430444133
61220435105221
7135054001222
oct26452607255
97736508234
103031109293
111315a89303
12707142211
13393c873c4
1420a7c3949
1512b18b6cd
hexb4ab0ead

3031109293 has 2 divisors, whose sum is σ = 3031109294. Its totient is φ = 3031109292.

The previous prime is 3031109281. The next prime is 3031109321. The reversal of 3031109293 is 3929011303.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2149435044 + 881674249 = 46362^2 + 29693^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3031109293 is a prime.

It is a super-3 number, since 3×30311092933 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3031109233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1515554646 + 1515554647.

It is an arithmetic number, because the mean of its divisors is an integer number (1515554647).

Almost surely, 23031109293 is an apocalyptic number.

It is an amenable number.

3031109293 is a deficient number, since it is larger than the sum of its proper divisors (1).

3031109293 is an equidigital number, since it uses as much as digits as its factorization.

3031109293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 31.

The square root of 3031109293 is about 55055.5110138849. The cubic root of 3031109293 is about 1447.2176996176.

The spelling of 3031109293 in words is "three billion, thirty-one million, one hundred nine thousand, two hundred ninety-three".