Search a number
-
+
10242124103 is a prime number
BaseRepresentation
bin10011000100111101…
…00110100101000111
3222102210100210221202
421202132212211013
5131433440432403
64412152133115
7511544422061
oct114236464507
928383323852
1010242124103
114386459482
121b9a09719b
13c72c03083
146d238c731
153ee288688
hex2627a6947

10242124103 has 2 divisors, whose sum is σ = 10242124104. Its totient is φ = 10242124102.

The previous prime is 10242124093. The next prime is 10242124163. The reversal of 10242124103 is 30142124201.

10242124103 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 is a cyclic number.

It is not a de Polignac number, because 10242124103 - 210 = 10242123079 is a prime.

It is a super-2 number, since 2×102421241032 (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 (10242124163) 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, 5121062051 + 5121062052.

It is an arithmetic number, because the mean of its divisors is an integer number (5121062052).

Almost surely, 210242124103 is an apocalyptic number.

10242124103 is a deficient number, since it is larger than the sum of its proper divisors (1).

10242124103 is an equidigital number, since it uses as much as digits as its factorization.

10242124103 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 20.

Adding to 10242124103 its reverse (30142124201), we get a palindrome (40384248304).

The spelling of 10242124103 in words is "ten billion, two hundred forty-two million, one hundred twenty-four thousand, one hundred three".