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22000110330100 = 22527893121113147
BaseRepresentation
bin1010000000010010011001…
…10000101110000011110100
32212220012010111220201001211
411000021030300232003310
510340422211221030400
6114442413335531204
74430312146225030
oct500111460560364
985805114821054
1022000110330100
117012215815521
122573928529b04
13c377a8667796
14560b4d62b1c0
152824178a8dba
hex14024cc2e0f4

22000110330100 has 144 divisors (see below), whose sum is σ = 55191476269440. Its totient is φ = 7455687782400.

The previous prime is 22000110330083. The next prime is 22000110330109. The reversal of 22000110330100 is 103301100022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000110330109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194381727 + ... + 194494873.

It is an arithmetic number, because the mean of its divisors is an integer number (383274140760).

Almost surely, 222000110330100 is an apocalyptic number.

22000110330100 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 22000110330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27595738134720).

22000110330100 is an abundant number, since it is smaller than the sum of its proper divisors (33191365939340).

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

22000110330100 is a wasteful number, since it uses less digits than its factorization.

22000110330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116378 (or 116371 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 22000110330100 its reverse (103301100022), we get a palindrome (22103411430122).

The spelling of 22000110330100 in words is "twenty-two trillion, one hundred ten million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 89 100 140 175 178 350 356 445 623 700 890 1246 1780 2225 2492 3115 3121 4450 6230 6242 8900 12460 12484 15575 15605 21847 31150 31210 43694 62300 62420 78025 87388 109235 113147 156050 218470 226294 277769 312100 436940 452588 546175 555538 565735 792029 1092350 1111076 1131470 1388845 1584058 1944383 2184700 2262940 2777690 2828675 3168116 3888766 3960145 5555380 5657350 6944225 7777532 7920290 9721915 10070083 11314700 13888450 15840580 19443830 19800725 20140166 27776900 38887660 39601450 40280332 48609575 50350415 70490581 79202900 97219150 100700830 140981162 194438300 201401660 251752075 281962324 352452905 353131787 503504150 704905810 706263574 1007008300 1409811620 1412527148 1762264525 1765658935 2471922509 3524529050 3531317870 4943845018 7049058100 7062635740 8828294675 9887690036 12359612545 17656589350 24719225090 31428729043 35313178700 49438450180 61798062725 62857458086 123596125450 125714916172 157143645215 220001103301 247192250900 314287290430 440002206602 628574580860 785718226075 880004413204 1100005516505 1571436452150 2200011033010 3142872904300 4400022066020 5500027582525 11000055165050 22000110330100