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112221441 = 3213819029
BaseRepresentation
bin1101011000001…
…01110100000001
321211011102212200
412230011310001
5212212041231
615045143413
72531603133
oct654056401
9254142780
10112221441
11583896a2
12316bab69
131a332527
1410c93053
159cbabe6
hex6b05d01

112221441 has 12 divisors (see below), whose sum is σ = 162232980. Its totient is φ = 74751840.

The previous prime is 112221433. The next prime is 112221479. The reversal of 112221441 is 144122211.

112221441 is a `hidden beast` number, since 1 + 1 + 2 + 221 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92160000 + 20061441 = 9600^2 + 4479^2 .

It is not a de Polignac number, because 112221441 - 23 = 112221433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112221491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7915 + ... + 16943.

It is an arithmetic number, because the mean of its divisors is an integer number (13519415).

Almost surely, 2112221441 is an apocalyptic number.

It is an amenable number.

112221441 is a deficient number, since it is larger than the sum of its proper divisors (50011539).

112221441 is a wasteful number, since it uses less digits than its factorization.

112221441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10413 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 112221441 is about 10593.4621819309. The cubic root of 112221441 is about 482.3459248355.

Adding to 112221441 its reverse (144122211), we get a palindrome (256343652).

The spelling of 112221441 in words is "one hundred twelve million, two hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 9 1381 4143 9029 12429 27087 81261 12469049 37407147 112221441