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112205142 = 23371012939
BaseRepresentation
bin1101011000000…
…01110101010110
321211010121112000
412230001311112
5212211031032
615044540130
72531504460
oct654016526
9254117460
10112205142
1158378425
12316b1646
131a327c9a
1410c8b130
159cb5e7c
hex6b01d56

112205142 has 64 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 31730400.

The previous prime is 112205099. The next prime is 112205143. The reversal of 112205142 is 241502211.

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 (112205143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36709 + ... + 39647.

It is an arithmetic number, because the mean of its divisors is an integer number (4498200).

Almost surely, 2112205142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112205142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

112205142 is an abundant number, since it is smaller than the sum of its proper divisors (175679658).

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

112205142 is a wasteful number, since it uses less digits than its factorization.

112205142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058 (or 3052 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112205142 is about 10592.6928587588. The cubic root of 112205142 is about 482.3225717912.

Adding to 112205142 its reverse (241502211), we get a palindrome (353707353).

The spelling of 112205142 in words is "one hundred twelve million, two hundred five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 101 126 189 202 303 378 606 707 909 1414 1818 2121 2727 2939 4242 5454 5878 6363 8817 12726 17634 19089 20573 26451 38178 41146 52902 61719 79353 123438 158706 185157 296839 370314 555471 593678 890517 1110942 1781034 2077873 2671551 4155746 5343102 6233619 8014653 12467238 16029306 18700857 37401714 56102571 112205142