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22211221100 = 2252412711861
BaseRepresentation
bin10100101011111001…
…000101011001101100
32010022221022221100112
4110223321011121230
5330442033033400
614111555315152
71414262156435
oct245371053154
963287287315
1022211221100
119468723182
12437a5abab8
13212c8378a3
141109c4448c
1589ee52835
hex52be4566c

22211221100 has 108 divisors (see below), whose sum is σ = 50125323024. Its totient is φ = 8541120000.

The previous prime is 22211221091. The next prime is 22211221111. The reversal of 22211221100 is 112211222.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11934170 + ... + 11936030.

Almost surely, 222211221100 is an apocalyptic number.

22211221100 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 22211221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25062661512).

22211221100 is an abundant number, since it is smaller than the sum of its proper divisors (27914101924).

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

22211221100 is a wasteful number, since it uses less digits than its factorization.

22211221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22211221100 its reverse (112211222), we get a palindrome (22323432322).

It can be divided in two parts, 2221122 and 1100, that added together give a palindrome (2222222).

The spelling of 22211221100 in words is "twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 284 355 410 710 820 1025 1420 1681 1775 1861 2050 2911 3362 3550 3722 4100 5822 6724 7100 7444 8405 9305 11644 14555 16810 18610 29110 33620 37220 42025 46525 58220 72775 76301 84050 93050 119351 132131 145550 152602 168100 186100 238702 264262 291100 305204 381505 477404 528524 596755 660655 763010 1193510 1321310 1526020 1907525 2387020 2642620 2983775 3128341 3303275 3815050 5417371 5967550 6256682 6606550 7630100 10834742 11935100 12513364 13213100 15641705 21669484 27086855 31283410 54173710 62566820 78208525 108347420 135434275 156417050 222112211 270868550 312834100 444224422 541737100 888448844 1110561055 2221122110 4442244220 5552805275 11105610550 22211221100