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212101222112 = 2513598641673
BaseRepresentation
bin1100010110001000110…
…1111100111011100000
3202021110200212110110222
43011202031330323200
511433340403101422
6241234333142212
721216031432643
oct3054215747340
9667420773428
10212101222112
1181a5167950a
123513432a968
1317002434830
14a3a132ba5a
1557b5a3b842
hex316237cee0

212101222112 has 48 divisors (see below), whose sum is σ = 457317388080. Its totient is φ = 96233659392.

The previous prime is 212101222087. The next prime is 212101222121. The reversal of 212101222112 is 211222101212.

212101222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4296293 + ... + 4345380.

It is an arithmetic number, because the mean of its divisors is an integer number (9527445585).

Almost surely, 2212101222112 is an apocalyptic number.

It is an amenable number.

212101222112 is an abundant number, since it is smaller than the sum of its proper divisors (245216165968).

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

212101222112 is a wasteful number, since it uses less digits than its factorization.

212101222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8641755 (or 8641747 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 212101222112 its reverse (211222101212), we get a palindrome (423323323324).

The spelling of 212101222112 in words is "two hundred twelve billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 1534 1888 3068 6136 12272 24544 8641673 17283346 34566692 69133384 112341749 138266768 224683498 276533536 449366996 509858707 898733992 1019717414 1797467984 2039434828 3594935968 4078869656 6628163191 8157739312 13256326382 16315478624 26512652764 53025305528 106050611056 212101222112