Search a number
-
+
3123030973 is a prime number
BaseRepresentation
bin1011101000100101…
…1010101110111101
322001122112102002211
42322021122232331
522343443442343
61233521220421
7140251216366
oct27211325675
98048472084
103123030973
111362962437
12731a91711
133aa02cc2a
14218ab0b6d
1513429779d
hexba25abbd

3123030973 has 2 divisors, whose sum is σ = 3123030974. Its totient is φ = 3123030972.

The previous prime is 3123030959. The next prime is 3123031013. The reversal of 3123030973 is 3790303213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2090501284 + 1032529689 = 45722^2 + 32133^2 .

It is an emirp because it is prime and its reverse (3790303213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3123030973 - 229 = 2586160061 is a prime.

It is a super-3 number, since 3×31230309733 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3153030973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561515486 + 1561515487.

It is an arithmetic number, because the mean of its divisors is an integer number (1561515487).

Almost surely, 23123030973 is an apocalyptic number.

It is an amenable number.

3123030973 is a deficient number, since it is larger than the sum of its proper divisors (1).

3123030973 is an equidigital number, since it uses as much as digits as its factorization.

3123030973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 3123030973 is about 55884.0851495307. The cubic root of 3123030973 is about 1461.7017395311.

The spelling of 3123030973 in words is "three billion, one hundred twenty-three million, thirty thousand, nine hundred seventy-three".