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12244341330 = 23251310465249
BaseRepresentation
bin10110110011101000…
…11101001001010010
31011121022212222122100
423121310131021102
5200034022410310
65342554421230
7612266120064
oct133164351122
934538788570
1012244341330
11521367a961
122458731816
1312019756b0
14842263734
154b9e37ec0
hex2d9d1d252

12244341330 has 48 divisors (see below), whose sum is σ = 34284159000. Its totient is φ = 3013991424.

The previous prime is 12244341313. The next prime is 12244341359. The reversal of 12244341330 is 3314344221.

12244341330 is a `hidden beast` number, since 1 + 2 + 244 + 3 + 413 + 3 + 0 = 666.

12244341330 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 4 ways, for example, as 9731625201 + 2512716129 = 98649^2 + 50127^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12244341294 and 12244341303.

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 23 ways as a sum of consecutive naturals, for example, 5231455 + ... + 5233794.

Almost surely, 212244341330 is an apocalyptic number.

12244341330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12244341330 is an abundant number, since it is smaller than the sum of its proper divisors (22039817670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12244341330 is a wasteful number, since it uses less digits than its factorization.

12244341330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10465275 (or 10465272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 12244341330 its reverse (3314344221), we get a palindrome (15558685551).

The spelling of 12244341330 in words is "twelve billion, two hundred forty-four million, three hundred forty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 10465249 20930498 31395747 52326245 62791494 94187241 104652490 136048237 156978735 188374482 272096474 313957470 408144711 470936205 680241185 816289422 941872410 1224434133 1360482370 2040723555 2448868266 4081447110 6122170665 12244341330