Search a number
-
+
10022122003 is a prime number
BaseRepresentation
bin10010101010101110…
…10111001000010011
3221212110101112210211
421111113113020103
5131011130401003
64334252504551
7503233426405
oct112527271023
927773345724
1010022122003
114283254663
121b3847b157
13c3946470a
146b1080b75
153d9ccc96d
hex2555d7213

10022122003 has 2 divisors, whose sum is σ = 10022122004. Its totient is φ = 10022122002.

The previous prime is 10022121997. The next prime is 10022122007. The reversal of 10022122003 is 30022122001.

10022122003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022122003 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022122007) 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, 5011061001 + 5011061002.

It is an arithmetic number, because the mean of its divisors is an integer number (5011061002).

Almost surely, 210022122003 is an apocalyptic number.

10022122003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022122003 is an equidigital number, since it uses as much as digits as its factorization.

10022122003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10022122003 its reverse (30022122001), we get a palindrome (40044244004).

The spelling of 10022122003 in words is "ten billion, twenty-two million, one hundred twenty-two thousand, three".