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221110200220221 = 331319191331524429
BaseRepresentation
bin110010010001100100111010…
…111100001011101000111101
31001222212221002000200012121000
4302101210322330023220331
5212440132142224021341
62102132342415200513
764400453612451354
oct6221447274135075
91058787060605530
10221110200220221
11644a8344769844
122097077a816139
13964b7aa66b940
143c85b0dd0a99b
151a868b51338b6
hexc9193af0ba3d

221110200220221 has 128 divisors (see below), whose sum is σ = 374407778304000. Its totient is φ = 127843799212800.

The previous prime is 221110200220219. The next prime is 221110200220223. The reversal of 221110200220221 is 122022002011122.

It is a happy number.

221110200220221 is a `hidden beast` number, since 2 + 2 + 11 + 10 + 200 + 220 + 221 = 666.

It is an interprime number because it is at equal distance from previous prime (221110200220219) and next prime (221110200220223).

It is not a de Polignac number, because 221110200220221 - 21 = 221110200220219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221110200220194 and 221110200220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221110200220223) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421358635 + ... + 421883063.

It is an arithmetic number, because the mean of its divisors is an integer number (2925060768000).

Almost surely, 2221110200220221 is an apocalyptic number.

It is an amenable number.

221110200220221 is a deficient number, since it is larger than the sum of its proper divisors (153297578083779).

221110200220221 is a wasteful number, since it uses less digits than its factorization.

221110200220221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524992 (or 524986 counting only the distinct ones).

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

Adding to 221110200220221 its reverse (122022002011122), we get a palindrome (343132202231343).

The spelling of 221110200220221 in words is "two hundred twenty-one trillion, one hundred ten billion, two hundred million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 13 19 27 39 57 117 171 191 247 331 351 513 573 741 993 1719 2223 2483 2979 3629 4303 5157 6289 6669 7449 8937 10887 12909 18867 22347 32661 38727 47177 56601 63221 67041 81757 97983 116181 141531 169803 189663 245271 424593 524429 568989 735813 821873 1201199 1273779 1573287 1706967 2207439 2465619 3603597 4719861 6817577 7396857 9964151 10810791 14159583 15615587 20452731 22190571 29892453 32432373 46846761 61358193 89677359 100165939 129533963 140540283 173585999 184074579 269032077 300497817 388601889 421620849 520757997 901493451 1165805667 1302157207 1562273991 1903152841 2256617987 2704480353 3298133981 3497417001 3906471621 4686821973 5709458523 6769853961 9894401943 11719414863 17128375569 20309561883 24740986933 29683205829 33154925809 35158244589 42875741753 51385126707 60928685649 74222960799 89049617487 99464777427 128627225259 222668882397 298394332281 385881675777 431014035517 629943590371 668006647191 895182996843 1157645027331 1293042106551 1889830771113 3879126319653 5669492313339 8189266674823 11637378958959 17008476940017 24567800024469 73703400073407 221110200220221