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221011022122002 = 23372101826994687
BaseRepresentation
bin110010010000001000100011…
…011101110000110000010010
31001222112110002010120210122000
4302100020203131300300102
5212432021033130401002
62102015021212254430
764360343105516100
oct6220104335606022
91058473063523560
10221011022122002
116446a280273712
1220955500171416
139642333210018
143c80dc20b6c70
151a8400d14a61c
hexc90223770c12

221011022122002 has 96 divisors (see below), whose sum is σ = 576977653923840. Its totient is φ = 62520798261600.

The previous prime is 221011022121991. The next prime is 221011022122019. The reversal of 221011022122002 is 200221220110122.

It is a happy number.

221011022122002 is a `hidden beast` number, since 2 + 210 + 1 + 10 + 221 + 220 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413230098 + ... + 413764589.

It is an arithmetic number, because the mean of its divisors is an integer number (6010183895040).

Almost surely, 2221011022122002 is an apocalyptic number.

221011022122002 is an abundant number, since it is smaller than the sum of its proper divisors (355966631801838).

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

221011022122002 is a wasteful number, since it uses less digits than its factorization.

221011022122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826994813 (or 826994800 counting only the distinct ones).

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

Adding to 221011022122002 its reverse (200221220110122), we get a palindrome (421232242232124).

The spelling of 221011022122002 in words is "two hundred twenty-one trillion, eleven billion, twenty-two million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 101 126 147 189 202 294 303 378 441 606 707 882 909 1323 1414 1818 2121 2646 2727 4242 4949 5454 6363 9898 12726 14847 19089 29694 38178 44541 89082 133623 267246 826994687 1653989374 2480984061 4961968122 5788962809 7442952183 11577925618 14885904366 17366888427 22328856549 34733776854 40522739663 44657713098 52100665281 81045479326 83526463387 104201330562 121568218989 156301995843 167052926774 243136437978 250579390161 312603991686 364704656967 501158780322 584685243709 729409313934 751738170483 1094113970901 1169370487418 1503476340966 1754055731127 2188227941802 2255214511449 3508111462254 4092796705963 4510429022898 5262167193381 8185593411926 10524334386762 12278390117889 15786501580143 24556780235778 31573003160286 36835170353667 73670340707334 110505511061001 221011022122002