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22012101022000 = 245359190198129
BaseRepresentation
bin1010000000101000101110…
…11101100101000100110000
32212221100002011111222002211
411000110113131211010300
510341121240330201000
6114452115234021504
74431215245353325
oct500242735450460
985840064458084
1022012101022000
117017309199851
122576114117894
13c389698c064b
14561569d04b4c
152828ba3db7ba
hex140517765130

22012101022000 has 160 divisors (see below), whose sum is σ = 54156408321600. Its totient is φ = 8650964480000.

The previous prime is 22012101021961. The next prime is 22012101022081. The reversal of 22012101022000 is 22010121022.

It is a happy number.

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, 224268936 + ... + 224367064.

It is an arithmetic number, because the mean of its divisors is an integer number (338477552010).

Almost surely, 222012101022000 is an apocalyptic number.

22012101022000 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 22012101022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27078204160800).

22012101022000 is an abundant number, since it is smaller than the sum of its proper divisors (32144307299600).

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

22012101022000 is a wasteful number, since it uses less digits than its factorization.

22012101022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100112 (or 100096 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22012101022000 its reverse (22010121022), we get a palindrome (22034111143022).

The spelling of 22012101022000 in words is "twenty-two trillion, twelve billion, one hundred one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 1901 2000 2360 2950 3802 4720 5900 7375 7604 9505 11800 14750 15208 19010 23600 29500 30416 38020 47525 59000 76040 95050 98129 112159 118000 152080 190100 196258 224318 237625 380200 392516 448636 475250 490645 560795 760400 785032 897272 950500 981290 1121590 1570064 1794544 1901000 1962580 2243180 2453225 2803975 3802000 3925160 4486360 4906450 5607950 5789611 7850320 8972720 9812900 11215900 11579222 12266125 14019875 19625800 22431800 23158444 24532250 28039750 28948055 39251600 44863600 46316888 49064500 56079500 57896110 92633776 98129000 112159000 115792220 144740275 186543229 196258000 224318000 231584440 289480550 373086458 463168880 578961100 723701375 746172916 932716145 1157922200 1447402750 1492345832 1865432290 2315844400 2894805500 2984691664 3730864580 4663580725 5789611000 7461729160 9327161450 11006050511 11579222000 14923458320 18654322900 22012101022 23317903625 37308645800 44024202044 46635807250 55030252555 74617291600 88048404088 93271614500 110060505110 176096808176 186543229000 220121010220 275151262775 373086458000 440242020440 550302525550 880484040880 1100605051100 1375756313875 2201210102200 2751512627750 4402420204400 5503025255500 11006050511000 22012101022000