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221011202200122 = 233109919148327551
BaseRepresentation
bin110010010000001000101110…
…001100101101001000111010
31001222112110112200102201101000
4302100020232030231020322
5212432021420230400442
62102015051124105430
764360350423251145
oct6220105614551072
91058473480381330
10221011202200122
116446a36298a004
1220955550535276
139642361610619
143c80ddbd9105c
151a8401dd6bd4c
hexc9022e32d23a

221011202200122 has 128 divisors (see below), whose sum is σ = 496533768192000. Its totient is φ = 72863285227200.

The previous prime is 221011202200051. The next prime is 221011202200147. The reversal of 221011202200122 is 221002202110122.

It is a happy number.

221011202200122 is a `hidden beast` number, since 2 + 210 + 112 + 0 + 220 + 0 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221011202200095 and 221011202200104.

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, 8021880247 + ... + 8021907797.

It is an arithmetic number, because the mean of its divisors is an integer number (3879170064000).

Almost surely, 2221011202200122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221011202200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248266884096000).

221011202200122 is an abundant number, since it is smaller than the sum of its proper divisors (275522565991878).

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

221011202200122 is a wasteful number, since it uses less digits than its factorization.

221011202200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30073 (or 30067 counting only the distinct ones).

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

Adding to 221011202200122 its reverse (221002202110122), we get a palindrome (442013404310244).

The spelling of 221011202200122 in words is "two hundred twenty-one trillion, eleven billion, two hundred two million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 109 218 327 654 919 981 1483 1838 1962 2757 2943 2966 4449 5514 5886 8271 8898 13347 16542 24813 26694 27551 40041 49626 55102 80082 82653 100171 161647 165306 200342 247959 300513 323294 484941 495918 601026 743877 901539 969882 1362877 1454823 1487754 1803078 2704617 2725754 2909646 3003059 4088631 4364469 5409234 6006118 8177262 8728938 9009177 12265893 18018354 24531786 25319369 27027531 36797679 40858133 50638738 54055062 73595358 75958107 81082593 81716266 122574399 148553593 151916214 162165186 227874321 245148798 297107186 367723197 445660779 455748642 683622963 735446394 891321558 1103169591 1336982337 1367245926 2206339182 2673964674 2759811221 4010947011 4453536497 5519622442 8021894022 8279433663 8907072994 13360609491 16558867326 24838300989 26721218982 37548624227 40081828473 49676601978 74514902967 75097248454 80163656946 112645872681 120245485419 149029805934 225291745362 240490970838 337937618043 675875236086 1013812854129 2027625708258 4092800040743 8185600081486 12278400122229 24556800244458 36835200366687 73670400733374 110505601100061 221011202200122