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112441977 = 3289229613
BaseRepresentation
bin1101011001110…
…11101001111001
321211120122101200
412230323221321
5212241120402
615054004413
72533512114
oct654735171
9254518350
10112441977
115851a35a
12317a6709
131a3aba1b
1410d0d57b
159d1121c
hex6b3ba79

112441977 has 24 divisors (see below), whose sum is σ = 165227400. Its totient is φ = 73675008.

The previous prime is 112441957. The next prime is 112442017. The reversal of 112441977 is 779144211.

It can be written as a sum of positive squares in 4 ways, for example, as 1687401 + 110754576 = 1299^2 + 10524^2 .

It is not a de Polignac number, because 112441977 - 210 = 112440953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112441937) 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 23 ways as a sum of consecutive naturals, for example, 183123 + ... + 183735.

It is an arithmetic number, because the mean of its divisors is an integer number (6884475).

Almost surely, 2112441977 is an apocalyptic number.

It is an amenable number.

112441977 is a deficient number, since it is larger than the sum of its proper divisors (52785423).

112441977 is a wasteful number, since it uses less digits than its factorization.

112441977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 934 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 112441977 is about 10603.8661345756. The cubic root of 112441977 is about 482.6616845630.

The spelling of 112441977 in words is "one hundred twelve million, four hundred forty-one thousand, nine hundred seventy-seven".

Divisors: 1 3 9 89 229 267 613 687 801 1839 2061 5517 20381 54557 61143 140377 163671 183429 421131 491013 1263393 12493553 37480659 112441977