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111112022011122 = 23411591636483563
BaseRepresentation
bin11001010000111001001000…
…100110100010110011110010
3112120102012112212010222210000
4121100321020212202303302
5104030424410113323442
61032152054102450430
732255402325614316
oct3120711046426362
9476365485128700
10111112022011122
1132449386817070
1210566307433a16
1349cca84949b82
141d61bc9d15b46
15cca42a830d4c
hex650e489a2cf2

111112022011122 has 160 divisors (see below), whose sum is σ = 277905263074560. Its totient is φ = 32896556218080.

The previous prime is 111112022011091. The next prime is 111112022011147. The reversal of 111112022011122 is 221110220211111.

It is a happy number.

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 = 111112022011095 and 111112022011104.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13895713 + ... + 20379275.

It is an arithmetic number, because the mean of its divisors is an integer number (1736907894216).

Almost surely, 2111112022011122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111112022011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952631537280).

111112022011122 is an abundant number, since it is smaller than the sum of its proper divisors (166793241063438).

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

111112022011122 is a wasteful number, since it uses less digits than its factorization.

111112022011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6483810 (or 6483801 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 111112022011122 its reverse (221110220211111), we get a palindrome (332222242222233).

The spelling of 111112022011122 in words is "one hundred eleven trillion, one hundred twelve billion, twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 59 66 81 99 118 162 163 177 198 297 326 354 489 531 594 649 891 978 1062 1298 1467 1593 1782 1793 1947 2934 3186 3586 3894 4401 4779 5379 5841 8802 9558 9617 10758 11682 13203 16137 17523 19234 26406 28851 32274 35046 48411 52569 57702 86553 96822 105138 105787 145233 173106 211574 259659 290466 317361 519318 634722 778977 952083 1557954 1904166 2856249 5712498 6483563 8568747 12967126 17137494 19450689 38901378 58352067 71319193 116704134 142638386 175056201 213957579 350112402 382530217 427915158 525168603 641872737 765060434 1050337206 1056820769 1147590651 1283745474 1925618211 2113641538 2295181302 3170462307 3442771953 3851236422 4207832387 5776854633 6340924614 6885543906 8415664774 9511386921 10328315859 11553709266 11625028459 12623497161 19022773842 20656631718 23250056918 25246994322 28534160763 30984947577 34875085377 37870491483 57068321526 61969895154 62352425371 69750170754 75740982966 85602482289 104625256131 113611474449 124704850742 171204964578 187057276113 209250512262 227222948898 313875768393 340834423347 374114552226 561171828339 627751536786 681668846694 685876679081 941627305179 1122343656678 1371753358162 1683515485017 1883254610358 2057630037243 3367030970034 4115260074486 5050546455051 6172890111729 10101092910102 12345780223458 18518670335187 37037340670374 55556011005561 111112022011122