Search a number
-
+
12240103225 = 52722921092
BaseRepresentation
bin10110110011001000…
…10010011100111001
31011121000220200001111
423121210102130321
5200031431300400
65342323520321
7612215106100
oct133144223471
934530820044
1012240103225
115211245799
1224572290a1
131200b2063c
1484187d037
154b989c3ba
hex2d9912739

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".

Divisors: 1 5 7 25 29 35 49 109 145 175 203 245 545 725 763 841 1015 1225 1421 2725 3161 3815 4205 5075 5341 5887 7105 11881 15805 19075 21025 22127 26705 29435 35525 41209 59405 79025 83167 91669 110635 133525 147175 154889 206045 297025 344549 415835 458345 553175 582169 641683 774445 1030225 1722745 2079175 2291725 2411843 2910845 3208415 3872225 4491781 8613725 9991921 12059215 14554225 16042075 16882901 22458905 49959605 60296075 69943447 84414505 112294525 249798025 349717235 422072525 489604129 1748586175 2448020645 12240103225