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12103654212 = 22321359343613
BaseRepresentation
bin10110100010110111…
…10001101101000100
31011020112011100012100
423101123301231010
5144242013413322
65321011152100
7605640235416
oct132133615504
934215140170
1012103654212
115151219611
1224195a5630
1311ab787690
1482b6c09b6
154ac8e7dac
hex2d16f1b44

12103654212 has 72 divisors (see below), whose sum is σ = 33005156184. Its totient is φ = 3717835776.

The previous prime is 12103654183. The next prime is 12103654219. The reversal of 12103654212 is 21245630121.

12103654212 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 3 + 654 + 2 + 1 + 2 = 666.

12103654212 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 1761984576 + 10341669636 = 41976^2 + 101694^2 .

It is not an unprimeable number, because it can be changed into a prime (12103654219) by changing a digit.

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, 255718 + ... + 299330.

It is an arithmetic number, because the mean of its divisors is an integer number (458404947).

Almost surely, 212103654212 is an apocalyptic number.

12103654212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12103654212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502578092).

12103654212 is an abundant number, since it is smaller than the sum of its proper divisors (20901501972).

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

12103654212 is a wasteful number, since it uses less digits than its factorization.

12103654212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44229 (or 44224 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12103654212 in words is "twelve billion, one hundred three million, six hundred fifty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 593 1186 1779 2372 3558 5337 7116 7709 10674 15418 21348 23127 30836 43613 46254 69381 87226 92508 130839 138762 174452 261678 277524 392517 523356 566969 785034 1133938 1570068 1700907 2267876 3401814 5102721 6803628 10205442 20410884 25862509 51725018 77587527 103450036 155175054 232762581 310350108 336212617 465525162 672425234 931050324 1008637851 1344850468 2017275702 3025913553 4034551404 6051827106 12103654212