Search a number
-
+
1033214033 is a prime number
BaseRepresentation
bin111101100101011…
…001100001010001
32200000011201012102
4331211121201101
54104000322113
6250305210145
734414113545
oct7545314121
92600151172
101033214033
11490249aa5
1224a030955
13136099067
149b315a25
1560a92758
hex3d959851

1033214033 has 2 divisors, whose sum is σ = 1033214034. Its totient is φ = 1033214032.

The previous prime is 1033214023. The next prime is 1033214047. The reversal of 1033214033 is 3304123301.

1033214033 is digitally balanced in base 2, 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., 1001595904 + 31618129 = 31648^2 + 5623^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033214033 - 212 = 1033209937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1033213996 and 1033214014.

It is not a weakly prime, because it can be changed into another prime (1033214023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516607016 + 516607017.

It is an arithmetic number, because the mean of its divisors is an integer number (516607017).

Almost surely, 21033214033 is an apocalyptic number.

It is an amenable number.

1033214033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033214033 is an equidigital number, since it uses as much as digits as its factorization.

1033214033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1033214033 is about 32143.6468528386. The cubic root of 1033214033 is about 1010.9509825525.

Adding to 1033214033 its reverse (3304123301), we get a palindrome (4337337334).

The spelling of 1033214033 in words is "one billion, thirty-three million, two hundred fourteen thousand, thirty-three".