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10012200222012 = 2231789634386939
BaseRepresentation
bin1001000110110010010110…
…1000110011110100111100
31022110011020110002202010220
42101230211220303310330
52303014441224101022
633143312530101340
72052233440461552
oct221544550636474
938404213082126
1010012200222012
11321017200a42a
12115852171a850
135781b99243c1
14268843589bd2
1512569106385c
hex91b25a33d3c

10012200222012 has 96 divisors (see below), whose sum is σ = 25018188249600. Its totient is φ = 3105264003072.

The previous prime is 10012200222007. The next prime is 10012200222023. The reversal of 10012200222012 is 21022200221001.

10012200222012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10012200221982 and 10012200222000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115120039 + ... + 115206977.

It is an arithmetic number, because the mean of its divisors is an integer number (260606127600).

Almost surely, 210012200222012 is an apocalyptic number.

10012200222012 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 10012200222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12509094124800).

10012200222012 is an abundant number, since it is smaller than the sum of its proper divisors (15005988027588).

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

10012200222012 is a wasteful number, since it uses less digits than its factorization.

10012200222012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93395 (or 93393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10012200222012 its reverse (21022200221001), we get a palindrome (31034400443013).

The spelling of 10012200222012 in words is "ten trillion, twelve billion, two hundred million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 89 102 178 204 267 356 534 1068 1513 3026 4539 6052 6343 9078 12686 18156 19029 25372 38058 76116 86939 107831 173878 215662 260817 323493 347756 431324 521634 564527 646986 1043268 1129054 1293972 1477963 1693581 2258108 2955926 3387162 4433889 5911852 6774324 7737571 8867778 9596959 15475142 17735556 19193918 23212713 28790877 30950284 38387836 46425426 57581754 92850852 115163508 131538707 263077414 394616121 526154828 551454077 789232242 1102908154 1578464484 1654362231 2205816308 3308724462 6617448924 9374719309 18749438618 28124157927 37498877236 49079412853 56248315854 98158825706 112496631708 147238238559 196317651412 294476477118 588952954236 834350018501 1668700037002 2503050055503 3337400074004 5006100111006 10012200222012