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112288033 = 11135913309
BaseRepresentation
bin1101011000101…
…10000100100001
321211021211020001
412230112010201
5212221204113
615050420001
72532301234
oct654260441
9254254201
10112288033
1158424730
1231731601
131a356930
1410cad41b
159cd07dd
hex6b16121

112288033 has 16 divisors (see below), whose sum is σ = 134164800. Its totient is φ = 92623680.

The previous prime is 112288019. The next prime is 112288049. The reversal of 112288033 is 330882211.

It is a cyclic number.

It is not a de Polignac number, because 112288033 - 213 = 112279841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112287992 and 112288010.

It is not an unprimeable number, because it can be changed into a prime (112288003) 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 15 ways as a sum of consecutive naturals, for example, 1783 + ... + 15091.

It is an arithmetic number, because the mean of its divisors is an integer number (8385300).

Almost surely, 2112288033 is an apocalyptic number.

112288033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112288033 is a deficient number, since it is larger than the sum of its proper divisors (21876767).

112288033 is a wasteful number, since it uses less digits than its factorization.

112288033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13392.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 112288033 is about 10596.6047864399. The cubic root of 112288033 is about 482.4413137031.

The spelling of 112288033 in words is "one hundred twelve million, two hundred eighty-eight thousand, thirty-three".

Divisors: 1 11 13 59 143 649 767 8437 13309 146399 173017 785231 1903187 8637541 10208003 112288033