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111221012120022 = 2367431771459
BaseRepresentation
bin11001010010011110101000…
…111010110100000111010110
3112120210121212120021012000000
4121102132220322310013112
5104034221113100320042
61032314121055032130
732266311235350000
oct3122365072640726
9476717776235000
10111221012120022
11324906258a8032
1210583463b0b646
134a0a133b5577c
141d671a8d35370
15ccd1a8e4174c
hex6527a8eb41d6

111221012120022 has 140 divisors (see below), whose sum is σ = 291804307169340. Its totient is φ = 31777431034104.

The previous prime is 111221012119979. The next prime is 111221012120083. The reversal of 111221012120022 is 220021210122111.

111221012120022 is a `hidden beast` number, since 1 + 112 + 210 + 121 + 200 + 22 = 666.

It is a super-2 number, since 2×1112210121200222 (a number of 29 digits) contains 22 as substring.

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 = 111221012119977 and 111221012120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 12385072 + ... + 19386387.

It is an arithmetic number, because the mean of its divisors is an integer number (2084316479781).

Almost surely, 2111221012120022 is an apocalyptic number.

111221012120022 is an abundant number, since it is smaller than the sum of its proper divisors (180583295049318).

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

111221012120022 is an frugal number, since it uses more digits than its factorization.

111221012120022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31771507 (or 31771471 counting only the distinct ones).

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

Adding to 111221012120022 its reverse (220021210122111), we get a palindrome (331242222242133).

The spelling of 111221012120022 in words is "one hundred eleven trillion, two hundred twenty-one billion, twelve million, one hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 343 378 441 486 567 686 729 882 1029 1134 1323 1458 1701 2058 2401 2646 3087 3402 3969 4802 5103 6174 7203 7938 9261 10206 11907 14406 18522 21609 23814 27783 35721 43218 55566 64827 71442 83349 129654 166698 194481 250047 388962 500094 583443 1166886 1750329 3500658 31771459 63542918 95314377 190628754 222400213 285943131 444800426 571886262 667200639 857829393 1334401278 1556801491 1715658786 2001601917 2573488179 3113602982 4003203834 4670404473 5146976358 6004805751 7720464537 9340808946 10897610437 12009611502 14011213419 15440929074 18014417253 21795220874 23161393611 28022426838 32692831311 36028834506 42033640257 46322787222 54043251759 65385662622 76283273059 84067280514 98078493933 108086503518 126100920771 152566546118 162129755277 196156987866 228849819177 252201841542 294235481799 324259510554 378302762313 457699638354 588470963598 686549457531 756605524626 882706445397 1134908286939 1373098915062 1765412890794 2059648372593 2269816573878 2648119336191 4119296745186 5296238672382 6178945117779 7944358008573 12357890235558 15888716017146 18536835353337 37073670706674 55610506060011 111221012120022