Base | Representation |
---|---|
bin | 10011000110010011… |
… | …00011110110011001 |
3 | 222110120112221011012 |
4 | 21203021203312121 |
5 | 131444331310423 |
6 | 4413233343305 |
7 | 512042223026 |
oct | 114311436631 |
9 | 28416487135 |
10 | 10253385113 |
11 | 439184aaa4 |
12 | 1ba1a07b35 |
13 | c753468aa |
14 | 6d3a8054d |
15 | 400260078 |
hex | 263263d99 |
10253385113 has 2 divisors, whose sum is σ = 10253385114. Its totient is φ = 10253385112.
The previous prime is 10253385059. The next prime is 10253385143. The reversal of 10253385113 is 31158335201.
10253385113 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., 8200570249 + 2052814864 = 90557^2 + 45308^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10253385113 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 10253385113.
It is not a weakly prime, because it can be changed into another prime (10253385143) 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, 5126692556 + 5126692557.
It is an arithmetic number, because the mean of its divisors is an integer number (5126692557).
Almost surely, 210253385113 is an apocalyptic number.
It is an amenable number.
10253385113 is a deficient number, since it is larger than the sum of its proper divisors (1).
10253385113 is an equidigital number, since it uses as much as digits as its factorization.
10253385113 is an odious number, because the sum of its binary digits is odd.
The product of its (nonzero) digits is 10800, while the sum is 32.
Subtracting from 10253385113 its sum of digits (32), we obtain a square (10253385081 = 1012592).
The spelling of 10253385113 in words is "ten billion, two hundred fifty-three million, three hundred eighty-five thousand, one hundred thirteen".
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