Base | Representation |
---|---|
bin | 10010101011000000… |
… | …01101000110001001 |
3 | 221212121202022210000 |
4 | 21111200031012021 |
5 | 131012224041301 |
6 | 4334414313213 |
7 | 503262223116 |
oct | 112540150611 |
9 | 27777668700 |
10 | 10024440201 |
11 | 4284598326 |
12 | 1b391b8809 |
13 | c39a96929 |
14 | 6b14c590d |
15 | 3da0d9786 |
hex | 25580d189 |
10024440201 has 40 divisors (see below), whose sum is σ = 15883343784. Its totient is φ = 6278860800.
The previous prime is 10024440197. The next prime is 10024440203. The reversal of 10024440201 is 10204442001.
10024440201 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 440 + 201 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 3463440201 + 6561000000 = 58851^2 + 81000^2 .
It is not a de Polignac number, because 10024440201 - 22 = 10024440197 is a prime.
It is not an unprimeable number, because it can be changed into a prime (10024440203) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 821521 + ... + 833633.
Almost surely, 210024440201 is an apocalyptic number.
It is an amenable number.
10024440201 is a deficient number, since it is larger than the sum of its proper divisors (5858903583).
10024440201 is a wasteful number, since it uses less digits than its factorization.
10024440201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12743 (or 12734 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10024440201 its reverse (10204442001), we get a palindrome (20228882202).
The spelling of 10024440201 in words is "ten billion, twenty-four million, four hundred forty thousand, two hundred one".
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