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1100222010120 = 233559473332833
BaseRepresentation
bin10000000000101010010…
…101111001001100001000
310220011212100211001100210
4100000222111321030020
5121011223313310440
62201233544001120
7142326345532242
oct20005225711410
93804770731323
101100222010120
11394668707532
121592921601a0
137c99aa9a8cc
143b372b79092
151d945206a80
hex1002a579308

1100222010120 has 128 divisors (see below), whose sum is σ = 3357420969600. Its totient is φ = 288350060544.

The previous prime is 1100222010119. The next prime is 1100222010137. The reversal of 1100222010120 is 210102220011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100222010096 and 1100222010105.

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, 33493224 + ... + 33526056.

It is an arithmetic number, because the mean of its divisors is an integer number (26229851325).

Almost surely, 21100222010120 is an apocalyptic number.

1100222010120 is a gapful number since it is divisible by the number (10) 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 1100222010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678710484800).

1100222010120 is an abundant number, since it is smaller than the sum of its proper divisors (2257198959480).

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

1100222010120 is a wasteful number, since it uses less digits than its factorization.

1100222010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37639 (or 37635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100222010120 its reverse (210102220011), we get a palindrome (1310324230131).

The spelling of 1100222010120 in words is "one trillion, one hundred billion, two hundred twenty-two million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 4733 7080 9466 14199 18932 23665 28398 32833 37864 47330 56796 65666 70995 94660 98499 113592 131332 141990 164165 189320 196998 262664 279247 283980 328330 393996 492495 558494 567960 656660 787992 837741 984990 1116988 1313320 1396235 1675482 1937147 1969980 2233976 2792470 3350964 3874294 3939960 4188705 5584940 5811441 6701928 7748588 8377410 9685735 11169880 11622882 15497176 16754820 19371470 23245764 29057205 33509640 38742940 46491528 58114410 77485880 116228820 155398589 232457640 310797178 466195767 621594356 776992945 932391534 1243188712 1553985890 1864783068 2330978835 3107971780 3729566136 4661957670 6215943560 9168516751 9323915340 18337033502 18647830680 27505550253 36674067004 45842583755 55011100506 73348134008 91685167510 110022201012 137527751265 183370335020 220044402024 275055502530 366740670040 550111005060 1100222010120