Search a number
-
+
2023012993 is a prime number
BaseRepresentation
bin111100010010100…
…1011101010000001
312012222122201010011
41320211023222001
513120342403433
6532424104521
7101063220031
oct17045135201
95188581104
102023012993
11948a35671
12485605141
13263174011
141529698c1
15bc90b3cd
hex7894ba81

2023012993 has 2 divisors, whose sum is σ = 2023012994. Its totient is φ = 2023012992.

The previous prime is 2023012991. The next prime is 2023013129. The reversal of 2023012993 is 3992103202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1987108929 + 35904064 = 44577^2 + 5992^2 .

It is a cyclic number.

It is not a de Polignac number, because 2023012993 - 21 = 2023012991 is a prime.

Together with 2023012991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2023012991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011506496 + 1011506497.

It is an arithmetic number, because the mean of its divisors is an integer number (1011506497).

Almost surely, 22023012993 is an apocalyptic number.

It is an amenable number.

2023012993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2023012993 is an equidigital number, since it uses as much as digits as its factorization.

2023012993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 2023012993 is about 44977.9167258778. The cubic root of 2023012993 is about 1264.7350584308.

The spelling of 2023012993 in words is "two billion, twenty-three million, twelve thousand, nine hundred ninety-three".