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111011012021112 = 23376616007166417
BaseRepresentation
bin11001001111011011000011…
…111100000000101101111000
3112120001112211022000211200220
4121033123003330000231320
5104022301023034133422
61032033431020100040
732245165236066450
oct3117330374005570
9476045738024626
10111011012021112
113240a562264585
121054a817394620
1349c33a7b13108
141d5ad66aa6d60
15cc79b7adee5c
hex64f6c3f00b78

111011012021112 has 128 divisors (see below), whose sum is σ = 317708949949440. Its totient is φ = 31663985633280.

The previous prime is 111011012021083. The next prime is 111011012021113. The reversal of 111011012021112 is 211120210110111.

111011012021112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1110110120211122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111011012021091 and 111011012021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111011012021113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666982128 + ... + 667148544.

It is an arithmetic number, because the mean of its divisors is an integer number (2482101171480).

Almost surely, 2111011012021112 is an apocalyptic number.

111011012021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111011012021112 is an abundant number, since it is smaller than the sum of its proper divisors (206697937928328).

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

111011012021112 is a wasteful number, since it uses less digits than its factorization.

111011012021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173101 (or 173097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111011012021112 its reverse (211120210110111), we get a palindrome (322131222131223).

The spelling of 111011012021112 in words is "one hundred eleven trillion, eleven billion, twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 661 1322 1983 2644 3966 4627 5288 6007 7932 9254 12014 13881 15864 18021 18508 24028 27762 36042 37016 42049 48056 55524 72084 84098 111048 126147 144168 166417 168196 252294 332834 336392 499251 504588 665668 998502 1009176 1164919 1331336 1997004 2329838 3494757 3970627 3994008 4659676 6989514 7941254 9319352 11911881 13979028 15882508 23823762 27794389 27958056 31765016 47647524 55588778 83383167 95295048 110001637 111177556 166766334 220003274 222355112 330004911 333532668 440006548 660009822 667065336 770011459 880013096 999666919 1320019644 1540022918 1999333838 2310034377 2640039288 2999000757 3080045836 3998667676 4620068754 5998001514 6160091672 6997668433 7997335352 9240137508 11996003028 13995336866 18480275016 20993005299 23992006056 27990673732 41986010598 55981347464 83972021196 167944042392 660779833459 1321559666918 1982339500377 2643119333836 3964679000754 4625458834213 5286238667672 7929358001508 9250917668426 13876376502639 15858716003016 18501835336852 27752753005278 37003670673704 55505506010556 111011012021112