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211222044000330 = 2351112719132634551
BaseRepresentation
bin110000000001101011110110…
…111001101100000001001010
31000200212122000102020122221220
4300001223312321230001022
5210141130221231002310
62025122022322342510
762330201104412526
oct6001536671540112
91020778012218856
10211222044000330
1161335847322150
121b8342b71baa36
1390b21cb9bb67c
143a232b6bd2d86
1519645840dd670
hexc01af6e6c04a

211222044000330 has 128 divisors (see below), whose sum is σ = 557663757336576. Its totient is φ = 50775576768000.

The previous prime is 211222044000323. The next prime is 211222044000361. The reversal of 211222044000330 is 33000440222112.

It is a happy number.

It is a super-2 number, since 2×2112220440003302 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211222044000330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78856555 + ... + 81491105.

It is an arithmetic number, because the mean of its divisors is an integer number (4356748104192).

Almost surely, 2211222044000330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222044000330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278831878668288).

211222044000330 is an abundant number, since it is smaller than the sum of its proper divisors (346441713336246).

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

211222044000330 is a wasteful number, since it uses less digits than its factorization.

211222044000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636612.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211222044000330 its reverse (33000440222112), we get a palindrome (244222484222442).

The spelling of 211222044000330 in words is "two hundred eleven trillion, two hundred twenty-two billion, forty-four million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 1913 2794 3810 3826 4191 5739 6985 8382 9565 11478 13970 19130 20955 21043 28695 41910 42086 57390 63129 105215 126258 210430 242951 315645 485902 631290 728853 1214755 1457706 2429510 2634551 2672461 3644265 5269102 5344922 7288530 7903653 8017383 13172755 13362305 15807306 16034766 26345510 26724610 28980061 39518265 40086915 57960122 79036530 80173830 86940183 144900305 173880366 289800610 334587977 434700915 669175954 869401830 1003763931 1672939885 2007527862 3345879770 3680467747 5018819655 5039896063 7360935494 10037639310 10079792126 11041403241 15119688189 18402338735 22082806482 25199480315 30239376378 36804677470 50398960630 55207016205 55438856693 75598440945 110414032410 110877713386 151196881890 166316570079 277194283465 332633140158 554388566930 640066800001 831582850395 1280133600002 1663165700790 1920200400003 3200334000005 3840400800006 6400668000010 7040734800011 9601002000015 14081469600022 19202004000030 21122204400033 35203674000055 42244408800066 70407348000110 105611022000165 211222044000330