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110031104 = 282914821
BaseRepresentation
bin1101000111011…
…11000100000000
321200001011022002
412203233010000
5211131443404
614530203132
72504151251
oct643570400
9250034262
10110031104
1157122aa7
1230a234a8
1319a46581
1410882b28
1599d6c1e
hex68ef100

110031104 has 36 divisors (see below), whose sum is σ = 227221260. Its totient is φ = 53114880.

The previous prime is 110031079. The next prime is 110031107. The reversal of 110031104 is 401130011.

It can be written as a sum of positive squares in 2 ways, for example, as 52998400 + 57032704 = 7280^2 + 7552^2 .

It is not an unprimeable number, because it can be changed into a prime (110031107) 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 3 ways as a sum of consecutive naturals, for example, 14 + ... + 14834.

Almost surely, 2110031104 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 110031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113610630).

110031104 is an abundant number, since it is smaller than the sum of its proper divisors (117190156).

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

110031104 is an equidigital number, since it uses as much as digits as its factorization.

110031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14866 (or 14852 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 110031104 is about 10489.5712019129. The cubic root of 110031104 is about 479.1871427604.

Adding to 110031104 its reverse (401130011), we get a palindrome (511161115).

The spelling of 110031104 in words is "one hundred ten million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 14821 29642 59284 118568 237136 429809 474272 859618 948544 1719236 1897088 3438472 3794176 6876944 13753888 27507776 55015552 110031104