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21112010220200 = 2352613375134993
BaseRepresentation
bin1001100110011100001011…
…10111101010001010101000
32202202021210021212200012212
410303032011313222022220
510231344344104021300
6112522420144224252
74306202202650444
oct463160567521250
982667707780185
1021112010220200
1167aa60a420249
12244b79560b088
13ba1b14391683
1452db80843824
15269289e25935
hex133385dea2a8

21112010220200 has 96 divisors (see below), whose sum is σ = 50038154432760. Its totient is φ = 8281715097600.

The previous prime is 21112010220173. The next prime is 21112010220239. The reversal of 21112010220200 is 202201021112.

It can be written as a sum of positive squares in 12 ways, for example, as 1019401199716 + 20092609020484 = 1009654^2 + 4482478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543904 + ... + 6678896.

Almost surely, 221112010220200 is an apocalyptic number.

21112010220200 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 21112010220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25019077216380).

21112010220200 is an abundant number, since it is smaller than the sum of its proper divisors (28926144212560).

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

21112010220200 is a wasteful number, since it uses less digits than its factorization.

21112010220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5135407 (or 5135398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21112010220200 its reverse (202201021112), we get a palindrome (21314211241312).

The spelling of 21112010220200 in words is "twenty-one trillion, one hundred twelve billion, ten million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 337 488 610 674 1220 1348 1525 1685 2440 2696 3050 3370 6100 6740 8425 12200 13480 16850 20557 33700 41114 67400 82228 102785 164456 205570 411140 513925 822280 1027850 2055700 4111400 5134993 10269986 20539972 25674965 41079944 51349930 102699860 128374825 205399720 256749650 313234573 513499300 626469146 1026998600 1252938292 1566172865 1730492641 2505876584 3132345730 3460985282 6264691460 6921970564 7830864325 8652463205 12529382920 13843941128 15661728650 17304926410 31323457300 34609852820 43262316025 62646914600 69219705640 86524632050 105560051101 173049264100 211120102202 346098528200 422240204404 527800255505 844480408808 1055600511010 2111201022020 2639001277525 4222402044040 5278002555050 10556005110100 21112010220200