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11120111201112 = 23331371392906161
BaseRepresentation
bin1010000111010001101001…
…0001110010101101011000
31110101001221200001220001120
42201310122101302231120
52424142441431413422
635352301503245240
72225254502432244
oct241643221625530
943331850056046
1011120111201112
1135a8015966081
1212b719a8a9820
136288116743a4
142a6305587424
151443d62c845c
hexa1d1a472b58

11120111201112 has 128 divisors (see below), whose sum is σ = 29684701132800. Its totient is φ = 3465072691200.

The previous prime is 11120111201033. The next prime is 11120111201119. The reversal of 11120111201112 is 21110211102111.

11120111201112 is a modest number, since divided by 111201112 gives 1112 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11120111201091 and 11120111201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120111201119) 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, 2373312 + ... + 5279472.

It is an arithmetic number, because the mean of its divisors is an integer number (231911727600).

Almost surely, 211120111201112 is an apocalyptic number.

11120111201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120111201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842350566400).

11120111201112 is an abundant number, since it is smaller than the sum of its proper divisors (18564589931688).

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

11120111201112 is a wasteful number, since it uses less digits than its factorization.

11120111201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906377 (or 2906373 counting only the distinct ones).

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

Adding to 11120111201112 its reverse (21110211102111), we get a palindrome (32230322303223).

Subtracting 11120111201112 from its reverse (21110211102111), we obtain a palindrome (9990099900999).

The spelling of 11120111201112 in words is "eleven trillion, one hundred twenty billion, one hundred eleven million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 139 148 186 222 248 278 296 372 417 444 556 744 834 888 1112 1147 1668 2294 3336 3441 4309 4588 5143 6882 8618 9176 10286 12927 13764 15429 17236 20572 25854 27528 30858 34472 41144 51708 61716 103416 123432 159433 318866 478299 637732 956598 1275464 1913196 2906161 3826392 5812322 8718483 11624644 17436966 23249288 34873932 69747864 90090991 107527957 180181982 215055914 270272973 322583871 360363964 403956379 430111828 540545946 645167742 720727928 807912758 860223656 1081091892 1211869137 1290335484 1615825516 2162183784 2423738274 2580670968 3231651032 3333366667 4847476548 6666733334 9694953096 10000100001 12522647749 13333466668 14946386023 20000200002 25045295498 26666933336 29892772046 37567943247 40000400004 44839158069 50090590996 59785544092 75135886494 80000800008 89678316138 100181181992 119571088184 150271772988 179356632276 300543545976 358713264552 463337966713 926675933426 1390013900139 1853351866852 2780027800278 3706703733704 5560055600556 11120111201112