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22110012122010 = 23523474791423333
BaseRepresentation
bin1010000011011111000110…
…11010110010001110011010
32220021200210202112012021020
411001233203122302032122
510344222301100401020
6115005111020423310
74441252466105361
oct501574332621632
986250722465236
1022110012122010
11705489248841a
12259109a3a7b36
13c44c716ca697
145661b77687d8
152851eb052c40
hex141be36b239a

22110012122010 has 128 divisors (see below), whose sum is σ = 56667367342080. Its totient is φ = 5508135426816.

The previous prime is 22110012121999. The next prime is 22110012122039. The reversal of 22110012122010 is 1022121001122.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14822304 + ... + 16245636.

It is an arithmetic number, because the mean of its divisors is an integer number (442713807360).

Almost surely, 222110012122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110012122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28333683671040).

22110012122010 is an abundant number, since it is smaller than the sum of its proper divisors (34557355220070).

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

22110012122010 is a wasteful number, since it uses less digits than its factorization.

22110012122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423892.

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

Adding to 22110012122010 its reverse (1022121001122), we get a palindrome (23132133123132).

The spelling of 22110012122010 in words is "twenty-two trillion, one hundred ten billion, twelve million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 479 690 705 958 1081 1410 1437 2162 2395 2874 3243 4790 5405 6486 7185 10810 11017 14370 16215 22034 22513 32430 33051 45026 55085 66102 67539 110170 112565 135078 165255 225130 330510 337695 517799 675390 1035598 1423333 1553397 2588995 2846666 3106794 4269999 5177990 7116665 7766985 8539998 14233330 15533970 21349995 32736659 42699990 65473318 66896651 98209977 133793302 163683295 196419954 200689953 327366590 334483255 401379906 491049885 668966510 681776507 982099770 1003449765 1363553014 1538622973 2006899530 2045329521 3077245946 3408882535 4090659042 4615868919 6817765070 7693114865 9231737838 10226647605 15386229730 15680859661 20453295210 23079344595 31361719322 32043495829 46158689190 47042578983 64086991658 78404298305 94085157966 96130487487 156808596610 160217479145 192260974974 235212894915 320434958290 470425789830 480652437435 737000404067 961304874870 1474000808134 2211001212201 3685002020335 4422002424402 7370004040670 11055006061005 22110012122010