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11110122101112 = 2334143534954267
BaseRepresentation
bin1010000110101100011011…
…1000011001100101111000
31110100010011111211000220220
42201223012320121211320
52424012012224213422
635343530350220040
72224452116455566
oct241530670314570
943303144730826
1011110122101112
1135a385a316431
1212b52714b4620
136278ac002328
142a5a38a60a36
15143eee36ee5c
hexa1ac6e19978

11110122101112 has 128 divisors (see below), whose sum is σ = 29663778735360. Its totient is φ = 3462437422080.

The previous prime is 11110122101087. The next prime is 11110122101123. The reversal of 11110122101112 is 21110122101111.

It is a junction number, because it is equal to n+sod(n) for n = 11110122101091 and 11110122101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234598 + ... + 4719669.

It is an arithmetic number, because the mean of its divisors is an integer number (231748271370).

Almost surely, 211110122101112 is an apocalyptic number.

11110122101112 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 11110122101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831889367680).

11110122101112 is an abundant number, since it is smaller than the sum of its proper divisors (18553656634248).

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

11110122101112 is a wasteful number, since it uses less digits than its factorization.

11110122101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4954413 (or 4954409 counting only the distinct ones).

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

Adding to 11110122101112 its reverse (21110122101111), we get a palindrome (32220244202223).

Subtracting 11110122101112 from its reverse (21110122101111), we obtain a palindrome (9999999999999).

The spelling of 11110122101112 in words is "eleven trillion, one hundred ten billion, one hundred twenty-two million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 43 53 82 86 106 123 129 159 164 172 212 246 258 318 328 344 424 492 516 636 984 1032 1272 1763 2173 2279 3526 4346 4558 5289 6519 6837 7052 8692 9116 10578 13038 13674 14104 17384 18232 21156 26076 27348 42312 52152 54696 93439 186878 280317 373756 560634 747512 1121268 2242536 4954267 9908534 14862801 19817068 29725602 39634136 59451204 118902408 203124947 213033481 262576151 406249894 426066962 525152302 609374841 639100443 787728453 812499788 852133924 1050304604 1218749682 1278200886 1575456906 1624999576 1704267848 2100609208 2437499364 2556401772 3150913812 4874998728 5112803544 6301827624 8734372721 10765622191 11290774493 17468745442 21531244382 22581548986 26203118163 32296866573 33872323479 34937490884 43062488764 45163097972 52406236326 64593733146 67744646958 69874981768 86124977528 90326195944 104812472652 129187466292 135489293916 209624945304 258374932584 270978587832 462921754213 925843508426 1388765262639 1851687016852 2777530525278 3703374033704 5555061050556 11110122101112