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21212122112 = 21041212323
BaseRepresentation
bin10011110000010101…
…110100110000000000
32000202022100110012022
4103300111310300000
5321420300401422
613424505221012
71350441030416
oct236025646000
960668313168
1021212122112
118aa5765335
12413ba91768
13200085485c
14105328d2b6
1584239d342
hex4f0574c00

21212122112 has 66 divisors (see below), whose sum is σ = 43466513844. Its totient is φ = 10346536960.

The previous prime is 21212122081. The next prime is 21212122187. The reversal of 21212122112 is 21122121212.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1715183 + ... + 1727505.

Almost surely, 221212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21733256922).

21212122112 is an abundant number, since it is smaller than the sum of its proper divisors (22254391732).

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

21212122112 is an equidigital number, since it uses as much as digits as its factorization.

21212122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12425 (or 12366 counting only the distinct ones).

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

Adding to 21212122112 its reverse (21122121212), we get a palindrome (42334243324).

It can be divided in two parts, 2121212 and 2112, that multiplied together give a palindrome (4479999744).

The spelling of 21212122112 in words is "twenty-one billion, two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 1681 2624 3362 5248 6724 10496 12323 13448 20992 24646 26896 41984 49292 53792 98584 107584 197168 215168 394336 430336 505243 788672 860672 1010486 1577344 1721344 2020972 3154688 4041944 6309376 8083888 12618752 16167776 20714963 32335552 41429926 64671104 82859852 129342208 165719704 258684416 331439408 517368832 662878816 1325757632 2651515264 5303030528 10606061056 21212122112