Search a number
-
+
10021022441 is a prime number
BaseRepresentation
bin10010101010100110…
…01010101011101001
3221212101022200111022
421111103022223221
5131010340204231
64334213142225
7503221166603
oct112523125351
927771280438
1010021022441
114282673531
121b3802a975
13c3916b0a1
146b0c76173
153d9b61c7b
hex2554caae9

10021022441 has 2 divisors, whose sum is σ = 10021022442. Its totient is φ = 10021022440.

The previous prime is 10021022399. The next prime is 10021022443. The reversal of 10021022441 is 14422012001.

10021022441 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 can be written as a sum of positive squares in only one way, i.e., 9725904400 + 295118041 = 98620^2 + 17179^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10021022441 is a prime.

Together with 10021022443, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10021022443) 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, 5010511220 + 5010511221.

It is an arithmetic number, because the mean of its divisors is an integer number (5010511221).

Almost surely, 210021022441 is an apocalyptic number.

It is an amenable number.

10021022441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021022441 is an equidigital number, since it uses as much as digits as its factorization.

10021022441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10021022441 its reverse (14422012001), we get a palindrome (24443034442).

The spelling of 10021022441 in words is "ten billion, twenty-one million, twenty-two thousand, four hundred forty-one".