Search a number
-
+
10024110137 is a prime number
BaseRepresentation
bin10010101010111101…
…11100100000111001
3221212121010120000102
421111132330200321
5131012133011022
64334403245145
7503256346616
oct112536744071
927777116012
1010024110137
114284392348
121b390797b5
13c399ac622
146b143b50d
153da071a92
hex2557bc839

10024110137 has 2 divisors, whose sum is σ = 10024110138. Its totient is φ = 10024110136.

The previous prime is 10024110073. The next prime is 10024110149. The reversal of 10024110137 is 73101142001.

It is a happy number.

10024110137 is digitally balanced in base 3, 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., 10021811881 + 2298256 = 100109^2 + 1516^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024110137 - 26 = 10024110073 is a prime.

It is not a weakly prime, because it can be changed into another prime (10024110167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5012055068 + 5012055069.

It is an arithmetic number, because the mean of its divisors is an integer number (5012055069).

Almost surely, 210024110137 is an apocalyptic number.

It is an amenable number.

10024110137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024110137 is an equidigital number, since it uses as much as digits as its factorization.

10024110137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 10024110137 its reverse (73101142001), we get a palindrome (83125252138).

The spelling of 10024110137 in words is "ten billion, twenty-four million, one hundred ten thousand, one hundred thirty-seven".