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112022112211002 = 2347379839310663
BaseRepresentation
bin11001011110001000101110…
…001101001001000000111010
3112200122012122121102100010000
4121132020232031021000322
5104140332241211223002
61034130125314133430
732411221240644240
oct3136105615110072
9480565577370100
10112022112211002
113276a346a29424
1210692776881276
134a678419b5346
141d93c83420790
15ce3e43ad661c
hex65e22e34903a

112022112211002 has 160 divisors (see below), whose sum is σ = 287972107315200. Its totient is φ = 31883718236832.

The previous prime is 112022112210973. The next prime is 112022112211003. The reversal of 112022112211002 is 200112211220211.

112022112211002 is a `hidden beast` number, since 1 + 120 + 221 + 1 + 221 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112022112211003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 360435123 + ... + 360745785.

It is an arithmetic number, because the mean of its divisors is an integer number (1799825670720).

Almost surely, 2112022112211002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112022112211002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143986053657600).

112022112211002 is an abundant number, since it is smaller than the sum of its proper divisors (175949995104198).

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

112022112211002 is a wasteful number, since it uses less digits than its factorization.

112022112211002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311902 (or 311893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112022112211002 its reverse (200112211220211), we get a palindrome (312134323431213).

The spelling of 112022112211002 in words is "one hundred twelve trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 379 567 758 839 1134 1137 1678 2274 2517 2653 3411 5034 5306 5873 6822 7551 7959 10233 11746 15102 15918 17619 20466 22653 23877 30699 35238 45306 47754 52857 61398 67959 71631 105714 135918 143262 158571 214893 310663 317142 317981 429786 475713 621326 635962 931989 951426 953943 1863978 1907886 2174641 2225867 2795967 2861829 4349282 4451734 5591934 5723658 6523923 6677601 8387901 8585487 13047846 13355202 16775802 17170974 19571769 20032803 25163703 25756461 39143538 40065606 50327406 51512922 58715307 60098409 117430614 117741277 120196818 176145921 180295227 235482554 260646257 352291842 353223831 360590454 521292514 706447662 781938771 824188939 1059671493 1563877542 1648377878 1824523799 2119342986 2345816313 2472566817 3179014479 3649047598 4691632626 4945133634 5473571397 6358028958 7037448939 7417700451 9537043437 10947142794 14074897878 14835400902 16420714191 19074086874 21112346817 22253101353 32841428382 42224693634 44506202706 49262142573 66759304059 98524285146 98784931403 133518608118 147786427719 197569862806 295572855438 296354794209 592709588418 691494519821 889064382627 1382989039642 1778128765254 2074483559463 2667193147881 4148967118926 5334386295762 6223450678389 8001579443643 12446901356778 16003158887286 18670352035167 37340704070334 56011056105501 112022112211002