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221210222212122 = 2311131015414718449
BaseRepresentation
bin110010010011000010000100…
…101101110011010000011010
31002000020111020201200212001120
4302103002010231303100122
5212443302013341241442
62102250323445430110
764410624344403243
oct6223020455632032
91060214221625046
10221210222212122
1164536801555770
1220988033a0b336
13965805a8ab330
143c8a8bbc53cca
151a892bb2644ec
hexc93084b7341a

221210222212122 has 128 divisors (see below), whose sum is σ = 525883256236800. Its totient is φ = 61151086080000.

The previous prime is 221210222212117. The next prime is 221210222212163. The reversal of 221210222212122 is 221212222012122.

It is a happy number.

It is a super-2 number, since 2×2212102222121222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221210222212092 and 221210222212101.

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, 44522754 + ... + 49241202.

It is an arithmetic number, because the mean of its divisors is an integer number (4108462939350).

Almost surely, 2221210222212122 is an apocalyptic number.

221210222212122 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 221210222212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262941628118400).

221210222212122 is an abundant number, since it is smaller than the sum of its proper divisors (304673034024678).

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

221210222212122 is a wasteful number, since it uses less digits than its factorization.

221210222212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4719120.

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 221210222212122 its reverse (221212222012122), we get a palindrome (442422444224244).

The spelling of 221210222212122 in words is "two hundred twenty-one trillion, two hundred ten billion, two hundred twenty-two million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 101 143 202 286 303 429 541 606 858 1082 1111 1313 1623 2222 2626 3246 3333 3939 5951 6666 7033 7878 11902 14066 14443 17853 21099 28886 35706 42198 43329 54641 77363 86658 109282 154726 163923 232089 327846 464178 601051 710333 1202102 1420666 1803153 2130999 3606306 4261998 4718449 7813663 9436898 14155347 15627326 23440989 28310694 46881978 51902939 61339837 103805878 122679674 155708817 184019511 311417634 368039022 476563349 674738207 953126698 1349476414 1429690047 2024214621 2552680909 2859380094 4048429242 5105361818 5242196839 6195323537 7658042727 10484393678 12390647074 15316085454 15726590517 18585970611 28079489999 31453181034 33184851817 37171941222 56158979998 66369703634 68148558907 84238469997 99554555451 136297117814 168476939994 199109110902 204445676721 257820771809 365033369987 408891353442 515641543618 730066739974 773462315427 1095100109961 1546924630854 2190200219922 2836028489899 3351670033517 5672056979798 6703340067034 8508085469697 10055010100551 17016170939394 20110020201102 36868370368687 73736740737374 110605111106061 221210222212122