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111110304114 = 232172336012593
BaseRepresentation
bin110011101111010110…
…0001011000101110010
3101121210110122021021200
41213132230023011302
53310023214212424
6123013211232030
711012263000455
oct1473654130562
9347713567250
10111110304114
1143137963017
121964a748616
13a6295479a4
14554084549c
152d548168c9
hex19deb0b172

111110304114 has 96 divisors (see below), whose sum is σ = 256518937584. Its totient is φ = 34637414400.

The previous prime is 111110304103. The next prime is 111110304119. The reversal of 111110304114 is 411403011111.

111110304114 is a `hidden beast` number, since 111 + 110 + 30 + 411 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 80057873025 + 31052431089 = 282945^2 + 176217^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111110304119) 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, 42848802 + ... + 42851394.

Almost surely, 2111110304114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111110304114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128259468792).

111110304114 is an abundant number, since it is smaller than the sum of its proper divisors (145408633470).

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

111110304114 is a wasteful number, since it uses less digits than its factorization.

111110304114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 111110304114 its reverse (411403011111), we get a palindrome (522513315225).

The spelling of 111110304114 in words is "one hundred eleven billion, one hundred ten million, three hundred four thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 233 306 466 601 699 1202 1398 1803 2097 2593 3606 3961 4194 5186 5409 7779 7922 10217 10818 11883 15558 20434 23337 23766 30651 35649 44081 46674 61302 71298 88162 91953 132243 140033 183906 264486 280066 396729 420099 604169 793458 840198 1208338 1260297 1558393 1812507 2380561 2520594 3116786 3625014 4675179 4761122 5437521 7141683 9350358 10270873 10875042 14025537 14283366 20541746 21425049 26492681 28051074 30812619 42850098 52985362 61625238 79478043 92437857 158956086 184875714 238434129 363105569 476868258 726211138 1089316707 2178633414 3267950121 6172794673 6535900242 12345589346 18518384019 37036768038 55555152057 111110304114