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110000000112 = 243374110114957
BaseRepresentation
bin110011001110010000…
…0101100110001110000
3101111221002101222112020
41212130200230301300
53300240000000422
6122311105431440
710642621400532
oct1463440546160
9344832358466
10110000000112
1142718150202
121939a93b580
13a4b04c9c82
1454771c3852
152cdc0e795c
hex199c82cc70

110000000112 has 160 divisors (see below), whose sum is σ = 301945299264. Its totient is φ = 34458624000.

The previous prime is 110000000101. The next prime is 110000000161. The reversal of 110000000112 is 211000000011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 110000000112.

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, 7346938 + ... + 7361894.

Almost surely, 2110000000112 is an apocalyptic number.

110000000112 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 110000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150972649632).

110000000112 is an abundant number, since it is smaller than the sum of its proper divisors (191945299152).

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

110000000112 is a wasteful number, since it uses less digits than its factorization.

110000000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15147 (or 15141 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110000000112 its reverse (211000000011), we get a palindrome (321000000123).

It can be divided in two parts, 11000000011 and 2, that multiplied together give a palindrome (22000000022).

The spelling of 110000000112 in words is "one hundred ten billion, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 101 111 123 148 164 202 222 246 296 303 328 404 444 492 592 606 656 808 888 984 1212 1517 1616 1776 1968 2424 3034 3737 4141 4551 4848 6068 7474 8282 9102 11211 12136 12423 14948 14957 16564 18204 22422 24272 24846 29896 29914 33128 36408 44844 44871 49692 59792 59828 66256 72816 89688 89742 99384 119656 153217 179376 179484 198768 239312 306434 358968 459651 553409 612868 613237 717936 919302 1106818 1225736 1226474 1510657 1660227 1838604 1839711 2213636 2451472 2452948 3021314 3320454 3677208 3679422 4427272 4531971 4905896 6042628 6640908 7354416 7358844 8854544 9063942 9811792 12085256 13281816 14717688 18127884 22689769 24170512 26563632 29435376 36255768 45379538 55894309 61936937 68069307 72511536 90759076 111788618 123873874 136138614 167682927 181518152 185810811 223577236 247747748 272277228 335365854 363036304 371621622 447154472 495495496 544554456 670731708 743243244 894308944 990990992 1089108912 1341463416 1486486488 2291666669 2682926832 2972972976 4583333338 6875000007 9166666676 13750000014 18333333352 27500000028 36666666704 55000000056 110000000112