Search a number
-
+
10500003109 is a prime number
BaseRepresentation
bin10011100011101100…
…10101010100100101
31000002202121102110001
421301312111110211
5133001000044414
64453523301301
7521125360651
oct116166252445
930082542401
1010500003109
1144a8a83822
12205051a831
13cb4473abb
14718719a61
15416c27074
hex271d95525

10500003109 has 2 divisors, whose sum is σ = 10500003110. Its totient is φ = 10500003108.

The previous prime is 10500003091. The next prime is 10500003113. The reversal of 10500003109 is 90130000501.

10500003109 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with previous prime (10500003091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9044580609 + 1455422500 = 95103^2 + 38150^2 .

It is a cyclic number.

It is not a de Polignac number, because 10500003109 - 225 = 10466448677 is a prime.

It is a super-2 number, since 2×105000031092 (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 (10500003119) 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, 5250001554 + 5250001555.

It is an arithmetic number, because the mean of its divisors is an integer number (5250001555).

Almost surely, 210500003109 is an apocalyptic number.

It is an amenable number.

10500003109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500003109 is an equidigital number, since it uses as much as digits as its factorization.

10500003109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 19.

The spelling of 10500003109 in words is "ten billion, five hundred million, three thousand, one hundred nine".