Search a number
-
+
10024022101 is a prime number
BaseRepresentation
bin10010101010111101…
…00111000001010101
3221212120222002020211
421111132213001111
5131012122201401
64334401325421
7503255532142
oct112536470125
927776862224
1010024022101
114284332195
121b39036871
13c3997b532
146b14173c9
153da055951
hex2557a7055

10024022101 has 2 divisors, whose sum is σ = 10024022102. Its totient is φ = 10024022100.

The previous prime is 10024022011. The next prime is 10024022153. The reversal of 10024022101 is 10122042001.

It is a happy number.

10024022101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10024022011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5734427076 + 4289595025 = 75726^2 + 65495^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024022101 - 217 = 10023891029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024022191) 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, 5012011050 + 5012011051.

It is an arithmetic number, because the mean of its divisors is an integer number (5012011051).

Almost surely, 210024022101 is an apocalyptic number.

It is an amenable number.

10024022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024022101 is an equidigital number, since it uses as much as digits as its factorization.

10024022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10024022101 its reverse (10122042001), we get a palindrome (20146064102).

The spelling of 10024022101 in words is "ten billion, twenty-four million, twenty-two thousand, one hundred one".