Search a number
-
+
4042112033 is a prime number
BaseRepresentation
bin1111000011101101…
…1011110000100001
3101102200221120022002
43300323123300201
531234240041113
61505032253345
7202111246121
oct36073336041
911380846262
104042112033
111794737663
12949841255
134c557768b
142a4b96c81
15189ce2c58
hexf0edbc21

4042112033 has 2 divisors, whose sum is σ = 4042112034. Its totient is φ = 4042112032.

The previous prime is 4042111999. The next prime is 4042112071. The reversal of 4042112033 is 3302112404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3660613009 + 381499024 = 60503^2 + 19532^2 .

It is a cyclic number.

It is not a de Polignac number, because 4042112033 - 220 = 4041063457 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4042111996 and 4042112014.

It is not a weakly prime, because it can be changed into another prime (4042112233) 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, 2021056016 + 2021056017.

It is an arithmetic number, because the mean of its divisors is an integer number (2021056017).

Almost surely, 24042112033 is an apocalyptic number.

It is an amenable number.

4042112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

4042112033 is an equidigital number, since it uses as much as digits as its factorization.

4042112033 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.

The square root of 4042112033 is about 63577.6063799197. The cubic root of 4042112033 is about 1592.9523397634.

Adding to 4042112033 its reverse (3302112404), we get a palindrome (7344224437).

The spelling of 4042112033 in words is "four billion, forty-two million, one hundred twelve thousand, thirty-three".