Search a number
-
+
4312120993 is a prime number
BaseRepresentation
bin1000000010000010…
…11011111010100001
3102010112000102221221
410001001123322201
532312400332433
61551515415041
7211600265215
oct40101337241
912115012857
104312120993
111913097364
12a04154481
135394a45ab
142cc9a0945
151a387a72d
hex10105bea1

4312120993 has 2 divisors, whose sum is σ = 4312120994. Its totient is φ = 4312120992.

The previous prime is 4312120957. The next prime is 4312121039. The reversal of 4312120993 is 3990212134.

4312120993 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3338181729 + 973939264 = 57777^2 + 31208^2 .

It is a cyclic number.

It is not a de Polignac number, because 4312120993 - 29 = 4312120481 is a prime.

It is not a weakly prime, because it can be changed into another prime (4312120903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2156060496 + 2156060497.

It is an arithmetic number, because the mean of its divisors is an integer number (2156060497).

Almost surely, 24312120993 is an apocalyptic number.

It is an amenable number.

4312120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

4312120993 is an equidigital number, since it uses as much as digits as its factorization.

4312120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 4312120993 is about 65666.7419094324. The cubic root of 4312120993 is about 1627.6598324233.

The spelling of 4312120993 in words is "four billion, three hundred twelve million, one hundred twenty thousand, nine hundred ninety-three".