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22000200001120 = 2551123733046579
BaseRepresentation
bin1010000000010010100100…
…00110110010011001100000
32212220012100202122110120201
411000021102012302121200
510340422402200013440
6114442430301514544
74430314315350415
oct500112206623140
985805322573521
1022000200001120
1170122613a1700
122573952572a54
13c377c1102a63
14560b5b4d010c
152824206bd19a
hex1402521b2660

22000200001120 has 144 divisors (see below), whose sum is σ = 57283247332080. Its totient is φ = 7978622192640.

The previous prime is 22000200001111. The next prime is 22000200001141. The reversal of 22000200001120 is 2110000200022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22000200001097 and 22000200001106.

It is a congruent number.

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, 5697991 + ... + 8744569.

It is an arithmetic number, because the mean of its divisors is an integer number (397800328695).

Almost surely, 222000200001120 is an apocalyptic number.

22000200001120 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 22000200001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641623666040).

22000200001120 is an abundant number, since it is smaller than the sum of its proper divisors (35283047330960).

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

22000200001120 is a wasteful number, since it uses less digits than its factorization.

22000200001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046989 (or 3046970 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22000200001120 its reverse (2110000200022), we get a palindrome (24110200201142).

The spelling of 22000200001120 in words is "twenty-two trillion, two hundred million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 373 440 484 605 746 880 968 1210 1492 1760 1865 1936 2420 2984 3730 3872 4103 4840 5968 7460 8206 9680 11936 14920 16412 19360 20515 29840 32824 41030 45133 59680 65648 82060 90266 131296 164120 180532 225665 328240 361064 451330 656480 722128 902660 1444256 1805320 3046579 3610640 6093158 7221280 12186316 15232895 24372632 30465790 33512369 48745264 60931580 67024738 97490528 121863160 134049476 167561845 243726320 268098952 335123690 368636059 487452640 536197904 670247380 737272118 1072395808 1136373967 1340494760 1474544236 1843180295 2272747934 2680989520 2949088472 3686360590 4545495868 5361979040 5681869835 5898176944 7372721180 9090991736 11363739670 11796353888 12500113637 14745442360 18181983472 22727479340 25000227274 29490884720 36363966944 45454958680 50000454548 58981769440 62500568185 90909917360 100000909096 125001136370 137501250007 181819834720 200001818192 250002272740 275002500014 400003636384 500004545480 550005000028 687506250035 1000009090960 1100010000056 1375012500070 2000018181920 2200020000112 2750025000140 4400040000224 5500050000280 11000100000560 22000200001120