Search a number
-
+
10125304121 is a prime number
BaseRepresentation
bin10010110111000001…
…11110000100111001
3222010122112202001202
421123200332010321
5131214034212441
64352420223545
7505625444042
oct113340760471
928118482052
1010125304121
114326519939
121b66b3abb5
13c5495071a
146c0a5d8c9
153e3db019b
hex25b83e139

10125304121 has 2 divisors, whose sum is σ = 10125304122. Its totient is φ = 10125304120.

The previous prime is 10125304087. The next prime is 10125304129. The reversal of 10125304121 is 12140352101.

10125304121 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., 10048057600 + 77246521 = 100240^2 + 8789^2 .

It is an emirp because it is prime and its reverse (12140352101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10125304121 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10125304093 and 10125304102.

It is not a weakly prime, because it can be changed into another prime (10125304129) 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, 5062652060 + 5062652061.

It is an arithmetic number, because the mean of its divisors is an integer number (5062652061).

Almost surely, 210125304121 is an apocalyptic number.

It is an amenable number.

10125304121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10125304121 is an equidigital number, since it uses as much as digits as its factorization.

10125304121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 10125304121 its reverse (12140352101), we get a palindrome (22265656222).

The spelling of 10125304121 in words is "ten billion, one hundred twenty-five million, three hundred four thousand, one hundred twenty-one".