Search a number
-
+
4023014200013 is a prime number
BaseRepresentation
bin111010100010101110010…
…101010001001011001101
3112020121002202222012021102
4322202232111101023031
51011403113113400023
612320051444112445
7563440020324134
oct72425625211315
915217082865242
104023014200013
1113111726aa786
1254b82b395725
132324a3aba073
14dca01a8691b
156e9ab672628
hex3a8ae5512cd

4023014200013 has 2 divisors, whose sum is σ = 4023014200014. Its totient is φ = 4023014200012.

The previous prime is 4023014199979. The next prime is 4023014200027. The reversal of 4023014200013 is 3100024103204.

4023014200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3452320073764 + 570694126249 = 1858042^2 + 755443^2 .

It is a cyclic number.

It is not a de Polignac number, because 4023014200013 - 212 = 4023014195917 is a prime.

It is a super-3 number, since 3×40230142000133 (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4023014200213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011507100006 + 2011507100007.

It is an arithmetic number, because the mean of its divisors is an integer number (2011507100007).

Almost surely, 24023014200013 is an apocalyptic number.

It is an amenable number.

4023014200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4023014200013 is an equidigital number, since it uses as much as digits as its factorization.

4023014200013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4023014200013 its reverse (3100024103204), we get a palindrome (7123038303217).

The spelling of 4023014200013 in words is "four trillion, twenty-three billion, fourteen million, two hundred thousand, thirteen".