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211222220101002 = 23511201719588661
BaseRepresentation
bin110000000001101100000001…
…011001011101010110001010
31000200212122110200121111200000
4300001230001121131112022
5210141131101321213002
62025122052013023430
762330205343300545
oct6001540131352612
91020778420544600
10211222220101002
11613359277711a0
121b834346184b76
1390b2229328756
143a232d235385c
1519645947c661c
hexc01b0165d58a

211222220101002 has 96 divisors (see below), whose sum is σ = 518000070579264. Its totient is φ = 63974996467200.

The previous prime is 211222220100989. The next prime is 211222220101007. The reversal of 211222220101002 is 200101022222112.

It is a happy number.

211222220101002 is a `hidden beast` number, since 211 + 222 + 220 + 1 + 0 + 10 + 0 + 2 = 666.

It is a super-2 number, since 2×2112222201010022 (a number of 29 digits) contains 22 as substring.

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 (211222220101007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 988552 + ... + 20577212.

It is an arithmetic number, because the mean of its divisors is an integer number (5395834068534).

Almost surely, 2211222220101002 is an apocalyptic number.

211222220101002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222220101002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259000035289632).

211222220101002 is an abundant number, since it is smaller than the sum of its proper divisors (306777850478262).

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

211222220101002 is a wasteful number, since it uses less digits than its factorization.

211222220101002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19590706 (or 19590694 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211222220101002 its reverse (200101022222112), we get a palindrome (411323242323114).

The spelling of 211222220101002 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty million, one hundred one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2017 2673 4034 5346 6051 12102 18153 22187 36306 44374 54459 66561 108918 133122 163377 199683 326754 399366 490131 599049 980262 1198098 1797147 3594294 5391441 10782882 19588661 39177322 58765983 117531966 176297949 215475271 352595898 430950542 528893847 646425813 1057787694 1292851626 1586681541 1939277439 3173363082 3878554878 4760044623 5817832317 9520089246 11635664634 17453496951 34906993902 39510329237 52360490853 79020658474 104720981706 118530987711 237061975422 355592963133 434613621607 711185926266 869227243214 1066778889399 1303840864821 2133557778798 2607681729642 3200336668197 3911522594463 6400673336394 7823045188926 9601010004591 11734567783389 19202020009182 23469135566778 35203703350167 70407406700334 105611110050501 211222220101002