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112300441 = 11291971787
BaseRepresentation
bin1101011000110…
…01000110011001
321211022110020121
412230121012121
5212222103231
615050553241
72532352351
oct654310631
9254273217
10112300441
1158432a90
1231738821
131a35c486
1410cb3b61
159cd4311
hex6b19199

112300441 has 16 divisors (see below), whose sum is σ = 127448640. Its totient is φ = 98015680.

The previous prime is 112300429. The next prime is 112300471. The reversal of 112300441 is 144003211.

It is a cyclic number.

It is not a de Polignac number, because 112300441 - 27 = 112300313 is a prime.

It is a super-2 number, since 2×1123004412 = 25222778097588962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112300471) 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 15 ways as a sum of consecutive naturals, for example, 61950 + ... + 63736.

It is an arithmetic number, because the mean of its divisors is an integer number (7965540).

Almost surely, 2112300441 is an apocalyptic number.

112300441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112300441 is a deficient number, since it is larger than the sum of its proper divisors (15148199).

112300441 is a wasteful number, since it uses less digits than its factorization.

112300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 112300441 is about 10597.1902408138. The cubic root of 112300441 is about 482.4590832172.

Adding to 112300441 its reverse (144003211), we get a palindrome (256303652).

The spelling of 112300441 in words is "one hundred twelve million, three hundred thousand, four hundred forty-one".

Divisors: 1 11 29 197 319 1787 2167 5713 19657 51823 62843 352039 570053 3872429 10209131 112300441