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112000110 = 235233741107
BaseRepresentation
bin1101010110011…
…11110001101110
321210202012021020
412223033301232
5212133000420
615040315010
72526661635
oct653176156
9253665236
10112000110
1158248382
1231612a66
131a285871
1410c3651c
159c75340
hex6acfc6e

112000110 has 128 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 26864640.

The previous prime is 112000093. The next prime is 112000111. The reversal of 112000110 is 11000211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1046677 + ... + 1046783.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2112000110 is an apocalyptic number.

112000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

112000110 is an abundant number, since it is smaller than the sum of its proper divisors (185851794).

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

112000110 is a wasteful number, since it uses less digits than its factorization.

112000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

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

The square root of 112000110 is about 10583.0104412686. The cubic root of 112000110 is about 482.0286106419.

Adding to 112000110 its reverse (11000211), we get a palindrome (123000321).

The spelling of 112000110 in words is "one hundred twelve million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 23 30 37 41 46 69 74 82 107 111 115 123 138 185 205 214 222 230 246 321 345 370 410 535 555 615 642 690 851 943 1070 1110 1230 1517 1605 1702 1886 2461 2553 2829 3034 3210 3959 4255 4387 4551 4715 4922 5106 5658 7383 7585 7918 8510 8774 9102 9430 11877 12305 12765 13161 14145 14766 15170 19795 21935 22755 23754 24610 25530 26322 28290 34891 36915 39590 43870 45510 59385 65805 69782 73830 91057 100901 104673 118770 131610 162319 174455 182114 201802 209346 273171 302703 324638 348910 455285 486957 504505 523365 546342 605406 811595 910570 973914 1009010 1046730 1365855 1513515 1623190 2434785 2731710 3027030 3733337 4869570 7466674 11200011 18666685 22400022 37333370 56000055 112000110