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112022200111221 = 321723743109324767
BaseRepresentation
bin11001011110001000110011…
…011100011101000001110101
3112200122012212201211010112200
4121132020303130131001311
5104140332431212024341
61034130142134135113
732411223356043141
oct3136106334350165
9480565781733480
10112022200111221
113276a391606134
12106927a01b1499
134a67856c805ca
141d93c90d82221
15ce3e4b69adb6
hex65e23371d075

112022200111221 has 144 divisors (see below), whose sum is σ = 180811588598784. Its totient is φ = 66734506395648.

The previous prime is 112022200111189. The next prime is 112022200111249. The reversal of 112022200111221 is 122111002220211.

112022200111221 is a `hidden beast` number, since 11 + 202 + 220 + 0 + 1 + 11 + 221 = 666.

It is not a de Polignac number, because 112022200111221 - 25 = 112022200111189 is a prime.

It is a super-2 number, since 2×1120222001112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112022200111194 and 112022200111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112022200111291) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4523030380 + ... + 4523055146.

It is an arithmetic number, because the mean of its divisors is an integer number (1255636031936).

Almost surely, 2112022200111221 is an apocalyptic number.

It is an amenable number.

112022200111221 is a deficient number, since it is larger than the sum of its proper divisors (68789388487563).

112022200111221 is a wasteful number, since it uses less digits than its factorization.

112022200111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25980 (or 25960 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112022200111221 its reverse (122111002220211), we get a palindrome (234133202331432).

The spelling of 112022200111221 in words is "one hundred twelve trillion, twenty-two billion, two hundred million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 17 37 43 51 111 129 153 289 333 387 629 731 867 1093 1591 1887 2193 2601 3279 4773 5661 6579 9837 10693 12427 14319 18581 24767 27047 32079 37281 40441 46999 55743 74301 81141 96237 111843 121323 140997 167229 222903 243423 315877 363969 421039 422991 459799 687497 798983 916379 947631 1064981 1263117 1379397 1738963 2062491 2396949 2749137 2842893 3194943 3789351 4138191 5216889 6187473 7157663 7190847 8247411 9584829 11687449 13582711 15578443 15650667 18104677 21472989 27070331 29562371 35062347 39404297 40748133 46735329 54314031 64418967 81210993 88687113 105187041 118212891 122244399 140205987 162942093 243632979 264833531 266061339 307779509 354638673 460195627 502560307 669873049 794500593 923338527 1001602247 1164024233 1380586881 1507680921 2009619147 2383501779 2770015581 3004806741 3492072699 4141760643 4523042763 6028857441 7823325659 9014420223 10476218097 11387841833 17027238199 19788411961 23469976977 34163525499 43068896621 51081714597 59365235883 70409930931 102490576497 129206689863 153245143791 178095707649 289463049383 336403003337 387620069589 732171242557 868389148149 1009209010011 2196513727671 2605167444447 3027627030033 6589541183013 12446911123469 37340733370407 112022200111221