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112442310 = 23353971049
BaseRepresentation
bin1101011001110…
…11101111000110
321211120122212000
412230323233012
5212241123220
615054010130
72533513101
oct654735706
9254518760
10112442310
115851a632
12317a6946
131a3abc16
1410d0d738
159d11390
hex6b3bbc6

112442310 has 64 divisors (see below), whose sum is σ = 300888000. Its totient is φ = 29880576.

The previous prime is 112442299. The next prime is 112442311. The reversal of 112442310 is 13244211.

Added to its reverse (13244211) it gives a square (125686521 = 112112).

It is a super-2 number, since 2×1124423102 = 25286546156272200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112442311) 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 31 ways as a sum of consecutive naturals, for example, 106666 + ... + 107714.

It is an arithmetic number, because the mean of its divisors is an integer number (4701375).

Almost surely, 2112442310 is an apocalyptic number.

112442310 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 112442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150444000).

112442310 is an abundant number, since it is smaller than the sum of its proper divisors (188445690).

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

112442310 is a wasteful number, since it uses less digits than its factorization.

112442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112442310 is about 10603.8818363843. The cubic root of 112442310 is about 482.6621610345.

Adding to 112442310 its reverse (13244211), we get a palindrome (125686521).

It can be divided in two parts, 1124 and 42310, that added together give a palindrome (43434).

The spelling of 112442310 in words is "one hundred twelve million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 397 794 1049 1191 1985 2098 2382 3147 3573 3970 5245 5955 6294 7146 9441 10490 10719 11910 15735 17865 18882 21438 28323 31470 35730 47205 53595 56646 94410 107190 141615 283230 416453 832906 1249359 2082265 2498718 3748077 4164530 6246795 7496154 11244231 12493590 18740385 22488462 37480770 56221155 112442310