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22221100000110 = 235112912511185593
BaseRepresentation
bin1010000110101110000001…
…10001011010001101101110
32220200022112122222002211210
411003113000301122031232
510403032303100000420
6115132122111255250
74452264400354164
oct503270061321556
986608478862753
1022221100000110
117097a08713440
1225aa72151a526
13c525963c292b
1456b715213234
1528804d8d99e0
hex1435c0c5a36e

22221100000110 has 128 divisors (see below), whose sum is σ = 60190183157760. Its totient is φ = 5200733260800.

The previous prime is 22221100000097. The next prime is 22221100000111. The reversal of 22221100000110 is 1100000112222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221100000111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119637474 + ... + 119823066.

It is an arithmetic number, because the mean of its divisors is an integer number (470235805920).

Almost surely, 222221100000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221100000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30095091578880).

22221100000110 is an abundant number, since it is smaller than the sum of its proper divisors (37969083157650).

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

22221100000110 is a wasteful number, since it uses less digits than its factorization.

22221100000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198154.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22221100000110 its reverse (1100000112222), we get a palindrome (23321100112332).

The spelling of 22221100000110 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 12511 25022 37533 62555 75066 125110 137621 185593 187665 275242 362819 371186 375330 412863 556779 688105 725638 825726 927965 1088457 1113558 1376210 1814095 1855930 2041523 2064315 2176914 2783895 3628190 3991009 4083046 4128630 5382197 5442285 5567790 6124569 7982018 10207615 10764394 10884570 11973027 12249138 16146591 19955045 20415230 23946054 26910985 30622845 32293182 39910090 53821970 59204167 59865135 61245690 80732955 118408334 119730270 161465910 177612501 296020835 355225002 592041670 888062505 1776125010 2321954023 4643908046 6965862069 11609770115 13931724138 23219540230 25541494253 34829310345 51082988506 67336666667 69658620690 76624482759 127707471265 134673333334 153248965518 202010000001 255414942530 336683333335 383122413795 404020000002 673366666670 740703333337 766244827590 1010050000005 1481406666674 2020100000010 2222110000011 3703516666685 4444220000022 7407033333370 11110550000055 22221100000110