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110111000000112 = 243237187491102271
BaseRepresentation
bin11001000010010100110111…
…000010100111011001110000
3112102212111201220122000202100
4121002110313002213121300
5103413024312000000422
61030104143423020400
732123154141121326
oct3102246702473160
9472774656560670
10110111000000112
11320a28a3a04181
12104242bb13a700
134959565a085b7
141d29587c71d16
15cae38e4db7ac
hex6425370a7670

110111000000112 has 120 divisors (see below), whose sum is σ = 316503626400000. Its totient is φ = 35709738554880.

The previous prime is 110111000000083. The next prime is 110111000000161. The reversal of 110111000000112 is 211000000111011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110111000000094 and 110111000000103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99343537 + ... + 100445807.

It is an arithmetic number, because the mean of its divisors is an integer number (2637530220000).

Almost surely, 2110111000000112 is an apocalyptic number.

110111000000112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110111000000112 is an abundant number, since it is smaller than the sum of its proper divisors (206392626399888).

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

110111000000112 is a wasteful number, since it uses less digits than its factorization.

110111000000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121071 (or 1121062 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 110111000000112 its reverse (211000000111011), we get a palindrome (321111000111123).

The spelling of 110111000000112 in words is "one hundred ten trillion, one hundred eleven billion, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 18749 37498 56247 74996 112494 149992 168741 224988 299984 337482 449976 674964 693713 899952 1102271 1349928 1387426 2081139 2204542 2699856 2774852 3306813 4162278 4409084 5549704 6243417 6613626 8324556 8818168 9920439 11099408 12486834 13227252 16649112 17636336 19840878 24973668 26454504 33298224 39681756 40784027 49947336 52909008 79363512 81568054 99894672 122352081 158727024 163136108 244704162 326272216 367056243 489408324 652544432 734112486 978816648 1468224972 1957633296 2936449944 5872899888 20666478979 41332957958 61999436937 82665915916 123998873874 165331831832 185998310811 247997747748 330663663664 371996621622 495995495496 743993243244 764659722223 991990990992 1487986486488 1529319444446 2293979166669 2975972972976 3058638888892 4587958333338 6117277777784 6881937500007 9175916666676 12234555555568 13763875000014 18351833333352 27527750000028 36703666666704 55055500000056 110111000000112