Search a number
-
+
2003212221233 is a prime number
BaseRepresentation
bin11101001001101000110…
…000001011101100110001
321002111122022012121002212
4131021220300023230301
5230310034312034413
64132132450021505
7264504315635366
oct35115060135461
97074568177085
102003212221233
11702615091183
1228429b877895
13116b95bc17b2
146cd5533a46d
1537194ee1ca8
hex1d268c0bb31

2003212221233 has 2 divisors, whose sum is σ = 2003212221234. Its totient is φ = 2003212221232.

The previous prime is 2003212221229. The next prime is 2003212221359. The reversal of 2003212221233 is 3321222123002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1959711610609 + 43500610624 = 1399897^2 + 208568^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003212221233 - 22 = 2003212221229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003212221199 and 2003212221208.

It is not a weakly prime, because it can be changed into another prime (2003212251233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001606110616 + 1001606110617.

It is an arithmetic number, because the mean of its divisors is an integer number (1001606110617).

Almost surely, 22003212221233 is an apocalyptic number.

It is an amenable number.

2003212221233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003212221233 is an equidigital number, since it uses as much as digits as its factorization.

2003212221233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2003212221233 its reverse (3321222123002), we get a palindrome (5324434344235).

The spelling of 2003212221233 in words is "two trillion, three billion, two hundred twelve million, two hundred twenty-one thousand, two hundred thirty-three".