Base | Representation |
---|---|
bin | 10110110011001000… |
… | …10010011100111001 |
3 | 1011121000220200001111 |
4 | 23121210102130321 |
5 | 200031431300400 |
6 | 5342323520321 |
7 | 612215106100 |
oct | 133144223471 |
9 | 34530820044 |
10 | 12240103225 |
11 | 5211245799 |
12 | 24572290a1 |
13 | 1200b2063c |
14 | 84187d037 |
15 | 4b989c3ba |
hex | 2d9912739 |
12240103225 has 81 divisors (see below), whose sum is σ = 18454832487. Its totient is φ = 8029445760.
The previous prime is 12240103217. The next prime is 12240103247. The reversal of 12240103225 is 52230104221.
It is a happy number.
The square root of 12240103225 is 110635.
It is a perfect power (a square), and thus also a powerful number.
12240103225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 13 ways, for example, as 5084973481 + 7155129744 = 71309^2 + 84588^2 .
It is not a de Polignac number, because 12240103225 - 23 = 12240103217 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 12240103196 and 12240103205.
It is an unprimeable number.
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 in 80 ways as a sum of consecutive naturals, for example, 112294471 + ... + 112294579.
Almost surely, 212240103225 is an apocalyptic number.
12240103225 is the 110635-th square number.
12240103225 is the 55318-th centered octagonal number.
It is an amenable number.
12240103225 is a deficient number, since it is larger than the sum of its proper divisors (6214729262).
12240103225 is an equidigital number, since it uses as much as digits as its factorization.
12240103225 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 300 (or 150 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 22.
Adding to 12240103225 its reverse (52230104221), we get a palindrome (64470207446).
The spelling of 12240103225 in words is "twelve billion, two hundred forty million, one hundred three thousand, two hundred twenty-five".
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