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112300110 = 232513531811
BaseRepresentation
bin1101011000110…
…01000001001110
321211022102210100
412230121001032
5212222100420
615050551530
72532351366
oct654310116
9254272710
10112300110
115843280a
12317385a6
131a35c290
1410cb39a6
159cd4190
hex6b1904e

112300110 has 96 divisors (see below), whose sum is σ = 320550048. Its totient is φ = 27106560.

The previous prime is 112300087. The next prime is 112300117. The reversal of 112300110 is 11003211.

It is a super-2 number, since 2×1123001102 = 25222629412024200, which contains 22 as substring.

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 = 112300092 and 112300101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300117) 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, 61105 + ... + 62915.

It is an arithmetic number, because the mean of its divisors is an integer number (3339063).

Almost surely, 2112300110 is an apocalyptic number.

112300110 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 112300110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160275024).

112300110 is an abundant number, since it is smaller than the sum of its proper divisors (208249938).

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

112300110 is a wasteful number, since it uses less digits than its factorization.

112300110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 112300110 is about 10597.1746234551. The cubic root of 112300110 is about 482.4586092086.

Adding to 112300110 its reverse (11003211), we get a palindrome (123303321).

The spelling of 112300110 in words is "one hundred twelve million, three hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 53 65 78 90 106 117 130 159 195 234 265 318 390 477 530 585 689 795 954 1170 1378 1590 1811 2067 2385 3445 3622 4134 4770 5433 6201 6890 9055 10335 10866 12402 16299 18110 20670 23543 27165 31005 32598 47086 54330 62010 70629 81495 95983 117715 141258 162990 191966 211887 235430 287949 353145 423774 479915 575898 706290 863847 959830 1059435 1247779 1439745 1727694 2118870 2495558 2879490 3743337 4319235 6238895 7486674 8638470 11230011 12477790 18716685 22460022 37433370 56150055 112300110