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111130344 = 23321329133
BaseRepresentation
bin1101001111110…
…11011011101000
321202010000011200
412213323123220
5211422132334
615005524200
72516410113
oct647733350
9252100150
10111130344
1157803966
1231273660
131a03ca00
1410a8b57a
159b52799
hex69fb6e8

111130344 has 72 divisors (see below), whose sum is σ = 325946790. Its totient is φ = 34190208.

The previous prime is 111130321. The next prime is 111130363. The reversal of 111130344 is 443031111.

It can be written as a sum of positive squares in 3 ways, for example, as 73307844 + 37822500 = 8562^2 + 6150^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 7602 + ... + 16734.

Almost surely, 2111130344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111130344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162973395).

111130344 is an abundant number, since it is smaller than the sum of its proper divisors (214816446).

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

111130344 is a wasteful number, since it uses less digits than its factorization.

111130344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9171 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 111130344 is about 10541.8377904424. The cubic root of 111130344 is about 480.7775937945. Note that the first 3 decimals are identical.

Adding to 111130344 its reverse (443031111), we get a palindrome (554161455).

The spelling of 111130344 in words is "one hundred eleven million, one hundred thirty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 9133 12168 18266 27399 36532 54798 73064 82197 109596 118729 164394 219192 237458 328788 356187 474916 657576 712374 949832 1068561 1424748 1543477 2137122 2849496 3086954 4274244 4630431 6173908 8548488 9260862 12347816 13891293 18521724 27782586 37043448 55565172 111130344