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21112243113312 = 25321343131138461
BaseRepresentation
bin1001100110011100100111…
…10000000100110101100000
32202202022101112002212111200
410303032103300010311200
510231400333214111222
6112522455224041200
74306211031343221
oct463162360046540
982668345085450
1021112243113312
1167aa71992a29a
12244b83b603200
13ba1b506c4750
1452dba3749248
152692a05caeac
hex133393c04d60

21112243113312 has 144 divisors (see below), whose sum is σ = 66159878632848. Its totient is φ = 6345003248640.

The previous prime is 21112243113277. The next prime is 21112243113331. The reversal of 21112243113312 is 21331134221112.

21112243113312 is a `hidden beast` number, since 2 + 1 + 1 + 12 + 2 + 4 + 311 + 331 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 65408239 + ... + 65730222.

It is an arithmetic number, because the mean of its divisors is an integer number (459443601617).

Almost surely, 221112243113312 is an apocalyptic number.

It is an amenable number.

21112243113312 is an abundant number, since it is smaller than the sum of its proper divisors (45047635519536).

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

21112243113312 is a wasteful number, since it uses less digits than its factorization.

21112243113312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131138533 (or 131138522 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 21112243113312 its reverse (21331134221112), we get a palindrome (42443377334424).

The spelling of 21112243113312 in words is "twenty-one trillion, one hundred twelve billion, two hundred forty-three million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 131138461 262276922 393415383 524553844 786830766 1049107688 1180246149 1573661532 1704799993 2098215376 2360492298 3147323064 3409599986 4196430752 4720984596 5114399979 5638953823 6294646128 6819199972 9441969192 10228799958 11277907646 12589292256 13638399944 15343199937 16916861469 18883938384 20457599916 22555815292 27276799888 30686399874 33833722938 37767876768 40915199832 45111630584 50750584407 54553599776 61372799748 67667445876 73306399699 81830399664 90223261168 101501168814 122745599496 135334891752 146612799398 163660799328 180446522336 203002337628 219919199097 245491198992 270669783504 293225598796 406004675256 439838398194 490982397984 541339567008 586451197592 659757597291 812009350512 879676796388 1172902395184 1319515194582 1624018701024 1759353592776 2345804790368 2639030389164 3518707185552 5278060778328 7037414371104 10556121556656 21112243113312