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22000211122110 = 23513793571199961
BaseRepresentation
bin1010000000010010100101…
…10001001101011110111110
32212220012101112120110201020
411000021102301031132332
510340422413021401420
6114442431340125010
74430314512026214
oct500112261153676
985805345513636
1022000211122110
1170122676a8001
122573956236766
13c377c34c7920
14560b5cb86cb4
15282421668340
hex140252c4d7be

22000211122110 has 128 divisors (see below), whose sum is σ = 57598270248960. Its totient is φ = 5345362713600.

The previous prime is 22000211122067. The next prime is 22000211122129. The reversal of 22000211122110 is 1122111200022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22000211122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109922530 + ... + 110122490.

It is an arithmetic number, because the mean of its divisors is an integer number (449986486320).

Almost surely, 222000211122110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000211122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28799135124480).

22000211122110 is an abundant number, since it is smaller than the sum of its proper divisors (35598059126850).

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

22000211122110 is a wasteful number, since it uses less digits than its factorization.

22000211122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203634.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22000211122110 its reverse (1122111200022), we get a palindrome (23122322322132).

The spelling of 22000211122110 in words is "twenty-two trillion, two hundred eleven million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 79 130 158 195 237 390 395 474 790 1027 1185 2054 2370 3081 3571 5135 6162 7142 10270 10713 15405 17855 21426 30810 35710 46423 53565 92846 107130 139269 199961 232115 278538 282109 399922 464230 564218 599883 696345 846327 999805 1199766 1392690 1410545 1692654 1999610 2599493 2821090 2999415 3667417 4231635 5198986 5998830 7334834 7798479 8463270 11002251 12997465 15596958 15796919 18337085 22004502 25994930 31593838 36674170 38992395 47390757 55011255 77984790 78984595 94781514 110022510 157969190 205359947 236953785 410719894 473907570 616079841 714060731 1026799735 1232159682 1428121462 2053599470 2142182193 3080399205 3570303655 4284364386 6160798410 7140607310 9282789503 10710910965 18565579006 21421821930 27848368509 46413947515 55696737018 56410797749 92827895030 112821595498 139241842545 169232393247 278483685090 282053988745 338464786494 564107977490 733340370737 846161966235 1466680741474 1692323932470 2200021112211 3666701853685 4400042224422 7333403707370 11000105561055 22000211122110