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12271115300 = 2252891378777
BaseRepresentation
bin10110110110110101…
…00101110000100100
31011200012021020121212
423123122211300210
5200112401142200
65345352330552
7613042521233
oct133332456044
934605236555
1012271115300
1152277a7604
1224656a3a58
13120738b192
14845a32b1a
154bc476035
hex2db6a5c24

12271115300 has 36 divisors (see below), whose sum is σ = 26927534340. Its totient is φ = 4853291520.

The previous prime is 12271115293. The next prime is 12271115357. The reversal of 12271115300 is 351117221.

12271115300 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 6 ways, for example, as 3499668964 + 8771446336 = 59158^2 + 93656^2 .

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 11 ways as a sum of consecutive naturals, for example, 680489 + ... + 698288.

It is an arithmetic number, because the mean of its divisors is an integer number (747987065).

Almost surely, 212271115300 is an apocalyptic number.

12271115300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12271115300 is an abundant number, since it is smaller than the sum of its proper divisors (14656419040).

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

12271115300 is a wasteful number, since it uses less digits than its factorization.

12271115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378880 (or 1378873 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The spelling of 12271115300 in words is "twelve billion, two hundred seventy-one million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 1378777 2757554 5515108 6893885 13787770 27575540 34469425 68938850 122711153 137877700 245422306 490844612 613555765 1227111530 2454223060 3067778825 6135557650 12271115300