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111120010000110 = 2355197772312201
BaseRepresentation
bin11001010001000000100100…
…101110010011011011101110
3112120102222011112221212200000
4121101000210232103123232
5104031042240030000420
61032155454453045130
732256104302451046
oct3121004456233356
9476388145855600
10111120010000110
1132451805830461
12105679766267a6
134a00758845c87
141d62346b74726
15cca746c57690
hex651024b936ee

111120010000110 has 96 divisors (see below), whose sum is σ = 299627750534112. Its totient is φ = 29630491545600.

The previous prime is 111120010000081. The next prime is 111120010000117. The reversal of 111120010000110 is 11000010021111.

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 = 111120010000092 and 111120010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111120010000117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46902010 + ... + 49214210.

It is an arithmetic number, because the mean of its divisors is an integer number (3121122401397).

Almost surely, 2111120010000110 is an apocalyptic number.

111120010000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111120010000110 is an abundant number, since it is smaller than the sum of its proper divisors (188507740534002).

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

111120010000110 is a wasteful number, since it uses less digits than its factorization.

111120010000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332000 (or 2331988 counting only the distinct ones).

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

Adding to 111120010000110 its reverse (11000010021111), we get a palindrome (122120020021221).

The spelling of 111120010000110 in words is "one hundred eleven trillion, one hundred twenty billion, ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1215 2430 19777 39554 59331 98885 118662 177993 197770 296655 355986 533979 593310 889965 1067958 1601937 1779930 2312201 2669895 3203874 4624402 4805811 5339790 6936603 8009685 9611622 11561005 13873206 16019370 20809809 23122010 24029055 34683015 41619618 48058110 62429427 69366030 104049045 124858854 187288281 208098090 312147135 374576562 561864843 624294270 936441405 1123729686 1872882810 2809324215 5618648430 45728399177 91456798354 137185197531 228641995885 274370395062 411555592593 457283991770 685925987655 823111185186 1234666777779 1371851975310 2057777962965 2469333555558 3704000333337 4115555925930 6173333888895 7408000666674 11112001000011 12346667777790 18520001666685 22224002000022 37040003333370 55560005000055 111120010000110