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221102121220122 = 237113117938357791
BaseRepresentation
bin110010010001011101011001…
…011001001111100000011010
31001222212011012222121110221010
4302101131121121033200122
5212440014121013020442
62102124525014154350
764400046452211252
oct6221353131174032
91058764188543833
10221102121220122
11644a497934345a
122096b0a50529b6
13964aac09585cc
143c85584d5a962
151a86590c30b9c
hexc9175964f81a

221102121220122 has 128 divisors (see below), whose sum is σ = 455574206545920. Its totient is φ = 71516696888000.

The previous prime is 221102121220121. The next prime is 221102121220159. The reversal of 221102121220122 is 221022121201122.

It is a super-2 number, since 2×2211021212201222 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221102121220121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3825863047 + ... + 3825920837.

It is an arithmetic number, because the mean of its divisors is an integer number (3559173488640).

Almost surely, 2221102121220122 is an apocalyptic number.

221102121220122 is an abundant number, since it is smaller than the sum of its proper divisors (234472085325798).

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

221102121220122 is a wasteful number, since it uses less digits than its factorization.

221102121220122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58560.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221102121220122 its reverse (221022121201122), we get a palindrome (442124242421244).

The spelling of 221102121220122 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 71 131 142 179 213 262 358 383 393 426 537 766 786 1074 1149 2298 9301 12709 18602 23449 25418 27193 27903 38127 46898 50173 54386 55806 57791 68557 70347 76254 81579 100346 115582 137114 140694 150519 163158 173373 205671 301038 346746 411342 1664879 3329758 3562283 4103161 4867547 4994637 7124566 7570621 8206322 8980967 9735094 9989274 10344589 10686849 12309483 14602641 15141242 17961934 20689178 21373698 22133953 22711863 24618966 26942901 29205282 31033767 44267906 45423726 53885802 62067534 66401859 132803718 537514091 637648657 734465819 1075028182 1275297314 1355141159 1468931638 1571510663 1612542273 1912945971 2203397457 2710282318 2899547843 3143021326 3225084546 3825891942 3961977587 4065423477 4406794914 4714531989 5799095686 7923955174 8130846954 8698643529 9429063978 11885932761 17397287058 23771865522 96215022289 192430044578 205867896853 281300408677 288645066867 411735793706 519019063897 562600817354 577290133734 617603690559 843901226031 1038038127794 1235207381118 1557057191691 1687802452062 3114114383382 36850353536687 73700707073374 110551060610061 221102121220122