Search a number
-
+
2120122033 is a prime number
BaseRepresentation
bin111111001011110…
…0111111010110001
312110202101100200021
41332113213322301
513320222401113
6550213323441
7103352511541
oct17627477261
95422340607
102120122033
11998832077
124b2036581
1327a3149a3
14161807321
15c61de48d
hex7e5e7eb1

2120122033 has 2 divisors, whose sum is σ = 2120122034. Its totient is φ = 2120122032.

The previous prime is 2120122031. The next prime is 2120122063. The reversal of 2120122033 is 3302210212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1652178609 + 467943424 = 40647^2 + 21632^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120122033 - 21 = 2120122031 is a prime.

Together with 2120122031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2120121998 and 2120122016.

It is not a weakly prime, because it can be changed into another prime (2120122031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060061016 + 1060061017.

It is an arithmetic number, because the mean of its divisors is an integer number (1060061017).

Almost surely, 22120122033 is an apocalyptic number.

It is an amenable number.

2120122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120122033 is an equidigital number, since it uses as much as digits as its factorization.

2120122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2120122033 is about 46044.7829075130. The cubic root of 2120122033 is about 1284.6563062105.

Adding to 2120122033 its reverse (3302210212), we get a palindrome (5422332245).

It can be divided in two parts, 21201 and 22033, that added together give a palindrome (43234).

The spelling of 2120122033 in words is "two billion, one hundred twenty million, one hundred twenty-two thousand, thirty-three".