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21110112212120 = 23519791492323561
BaseRepresentation
bin1001100110011000101001…
…01111010101010010011000
32202202002220000102212121022
410303030110233111102120
510231332002211241440
6112521503543302012
74306104155105261
oct463142457252230
982662800385538
1021110112212120
1167a9826005728
12244b345a4a908
13ba18a10a7679
1452da40737968
152691c84accb5
hex133314bd5498

21110112212120 has 128 divisors (see below), whose sum is σ = 50636057472000. Its totient is φ = 7897495956480.

The previous prime is 21110112212117. The next prime is 21110112212257. The reversal of 21110112212120 is 2121221101112.

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, 895965140 + ... + 895988700.

It is an arithmetic number, because the mean of its divisors is an integer number (395594199000).

Almost surely, 221110112212120 is an apocalyptic number.

21110112212120 is a gapful number since it is divisible by the number (20) 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 21110112212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318028736000).

21110112212120 is an abundant number, since it is smaller than the sum of its proper divisors (29525945259880).

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

21110112212120 is a wasteful number, since it uses less digits than its factorization.

21110112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38593 (or 38589 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 21110112212120 its reverse (2121221101112), we get a palindrome (23231333313232).

The spelling of 21110112212120 in words is "twenty-one trillion, one hundred ten billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 3002 3160 6004 7505 12008 14923 15010 23561 29846 30020 47122 59692 60040 74615 94244 117805 119384 149230 188488 235610 283537 298460 447659 471220 567074 596920 895318 942440 1134148 1178917 1417685 1790636 1861319 2238295 2268296 2357834 2835370 3581272 3722638 4476590 4715668 5670740 5894585 7445276 8953180 9306595 9431336 11341480 11789170 14890552 17906360 18613190 22399423 23578340 35365061 37226380 44798846 47156680 70730122 74452760 89597692 111997115 141460244 176825305 179195384 223994230 282920488 351600803 353650610 447988460 703201606 707301220 895976920 1406403212 1414602440 1758004015 2812806424 3516008030 6680415257 7032016060 13360830514 14064032120 26721661028 27776463437 33402076285 53443322056 55552926874 66804152570 111105853748 133608305140 138882317185 222211707496 267216610280 277764634370 527752805303 555529268740 1055505610606 1111058537480 2111011221212 2638764026515 4222022442424 5277528053030 10555056106060 21110112212120