Search a number
-
+
10024142041 is a prime number
BaseRepresentation
bin10010101010111110…
…00100010011011001
3221212121012011210001
421111133010103121
5131012140021131
64334404053001
7503256541624
oct112537042331
927777164701
1010024142041
114284404311
121b39094161
13c399c0cc4
146b1448dbb
153da07b261
hex2557c44d9

10024142041 has 2 divisors, whose sum is σ = 10024142042. Its totient is φ = 10024142040.

The previous prime is 10024142033. The next prime is 10024142047. The reversal of 10024142041 is 14024142001.

10024142041 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., 9954252441 + 69889600 = 99771^2 + 8360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024142041 - 23 = 10024142033 is a prime.

It is not a weakly prime, because it can be changed into another prime (10024142047) 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, 5012071020 + 5012071021.

It is an arithmetic number, because the mean of its divisors is an integer number (5012071021).

Almost surely, 210024142041 is an apocalyptic number.

It is an amenable number.

10024142041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024142041 is an equidigital number, since it uses as much as digits as its factorization.

10024142041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 10024142041 its reverse (14024142001), we get a palindrome (24048284042).

The spelling of 10024142041 in words is "ten billion, twenty-four million, one hundred forty-two thousand, forty-one".