Search a number
-
+
10022220161 is a prime number
BaseRepresentation
bin10010101010101111…
…01111000110000001
3221212110120112110022
421111113233012001
5131011142021121
64334254543225
7503234315522
oct112527570601
927773515408
1010022220161
114283311388
121b38507b15
13c3949a2b5
146b10a8849
153d9cebaab
hex2555ef181

10022220161 has 2 divisors, whose sum is σ = 10022220162. Its totient is φ = 10022220160.

The previous prime is 10022220157. The next prime is 10022220181. The reversal of 10022220161 is 16102222001.

10022220161 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., 9400465936 + 621754225 = 96956^2 + 24935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022220161 - 22 = 10022220157 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022220181) 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, 5011110080 + 5011110081.

It is an arithmetic number, because the mean of its divisors is an integer number (5011110081).

Almost surely, 210022220161 is an apocalyptic number.

It is an amenable number.

10022220161 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022220161 is an equidigital number, since it uses as much as digits as its factorization.

10022220161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10022220161 its reverse (16102222001), we get a palindrome (26124442162).

The spelling of 10022220161 in words is "ten billion, twenty-two million, two hundred twenty thousand, one hundred sixty-one".