Search a number
-
+
10024231181 is a prime number
BaseRepresentation
bin10010101010111110…
…11010000100001101
3221212121100201001112
421111133122010031
5131012200344211
64334410021405
7503260362536
oct112537320415
927777321045
1010024231181
114284465288
121b39117865
13c39a22753
146b146d68d
153da09788b
hex2557da10d

10024231181 has 2 divisors, whose sum is σ = 10024231182. Its totient is φ = 10024231180.

The previous prime is 10024231177. The next prime is 10024231229. The reversal of 10024231181 is 18113242001.

10024231181 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., 9454645225 + 569585956 = 97235^2 + 23866^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024231181 - 22 = 10024231177 is a prime.

It is a super-2 number, since 2×100242311812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024231171) 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, 5012115590 + 5012115591.

It is an arithmetic number, because the mean of its divisors is an integer number (5012115591).

Almost surely, 210024231181 is an apocalyptic number.

It is an amenable number.

10024231181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024231181 is an equidigital number, since it uses as much as digits as its factorization.

10024231181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 23.

Adding to 10024231181 its reverse (18113242001), we get a palindrome (28137473182).

The spelling of 10024231181 in words is "ten billion, twenty-four million, two hundred thirty-one thousand, one hundred eighty-one".