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1112110112112 = 243163191839887
BaseRepresentation
bin10000001011101110111…
…011011001110101110000
310221022112212101012111120
4100023232323121311300
5121210100142041422
62210521335142240
7143230060660566
oct20135673316560
93838485335446
101112110112112
1139970919050a
1215b64b514980
1380b439b419c
143bb7d989a36
151ddddc2245c
hex102eeed9d70

1112110112112 has 160 divisors (see below), whose sum is σ = 2912453591040. Its totient is φ = 365650640640.

The previous prime is 1112110112053. The next prime is 1112110112117. The reversal of 1112110112112 is 2112110112111.

It is a junction number, because it is equal to n+sod(n) for n = 1112110112091 and 1112110112100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112110112117) 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, 1253787733 + ... + 1253788619.

It is an arithmetic number, because the mean of its divisors is an integer number (18202834944).

Almost surely, 21112110112112 is an apocalyptic number.

1112110112112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1112110112112 is an abundant number, since it is smaller than the sum of its proper divisors (1800343478928).

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

1112110112112 is a wasteful number, since it uses less digits than its factorization.

1112110112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2085 counting only the distinct ones).

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

Adding to 1112110112112 its reverse (2112110112111), we get a palindrome (3224220224223).

Subtracting 1112110112112 from its reverse (2112110112111), we obtain a palindrome (999999999999).

The spelling of 1112110112112 in words is "one trillion, one hundred twelve billion, one hundred ten million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 191 326 382 489 573 652 764 839 887 978 1146 1304 1528 1678 1774 1956 2292 2517 2608 2661 3056 3356 3548 3912 4584 5034 5322 6712 7096 7824 9168 10068 10644 13424 14192 20136 21288 31133 40272 42576 62266 93399 124532 136757 144581 160249 169417 186798 249064 273514 289162 320498 338834 373596 410271 433743 480747 498128 508251 547028 578324 640996 677668 744193 747192 820542 867486 961494 1016502 1094056 1156648 1281992 1355336 1488386 1494384 1641084 1734972 1922988 2033004 2188112 2232579 2313296 2563984 2710672 2976772 3282168 3469944 3845976 4066008 4465158 5953544 6564336 6939888 7691952 8132016 8930316 11907088 17860632 26120587 27614971 35721264 52241174 55229942 78361761 82844913 104482348 110459884 121303459 142140863 156723522 165689826 208964696 220919768 242606918 284281726 313447044 331379652 363910377 417929392 426422589 441839536 485213836 568563452 626894088 662759304 727820754 852845178 970427672 1137126904 1253788176 1325518608 1455641508 1705690356 1940855344 2274253808 2911283016 3411380712 5822566032 6822761424 23168960669 46337921338 69506882007 92675842676 139013764014 185351685352 278027528028 370703370704 556055056056 1112110112112