Search a number
-
+
10022330027 is a prime number
BaseRepresentation
bin10010101010110000…
…01001111010101011
3221212110210010011102
421111120021322223
5131011204030102
64334301152015
7503235254033
oct112530117253
927773703142
1010022330027
114283386986
121b3855b60b
13c395082c8
146b10d68c3
153d9d1e402
hex255609eab

10022330027 has 2 divisors, whose sum is σ = 10022330028. Its totient is φ = 10022330026.

The previous prime is 10022329913. The next prime is 10022330033. The reversal of 10022330027 is 72003322001.

10022330027 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 not a de Polignac number, because 10022330027 - 212 = 10022325931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022329990 and 10022330008.

It is not a weakly prime, because it can be changed into another prime (10022330047) 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, 5011165013 + 5011165014.

It is an arithmetic number, because the mean of its divisors is an integer number (5011165014).

Almost surely, 210022330027 is an apocalyptic number.

10022330027 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022330027 is an equidigital number, since it uses as much as digits as its factorization.

10022330027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 20.

Adding to 10022330027 its reverse (72003322001), we get a palindrome (82025652028).

The spelling of 10022330027 in words is "ten billion, twenty-two million, three hundred thirty thousand, twenty-seven".