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110014112 = 2513373709
BaseRepresentation
bin1101000111010…
…10111010100000
321200000021222202
412203222322200
5211130422422
614525552332
72504050565
oct643527240
9250007882
10110014112
115711125a
1230a156a8
1319a3b910
141087a86c
1599d1b92
hex68eaea0

110014112 has 48 divisors (see below), whose sum is σ = 234206280. Its totient is φ = 50568192.

The previous prime is 110014109. The next prime is 110014117. The reversal of 110014112 is 211410011.

It can be written as a sum of positive squares in 4 ways, for example, as 56490256 + 53523856 = 7516^2 + 7316^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110014093 and 110014102.

It is not an unprimeable number, because it can be changed into a prime (110014117) 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 7 ways as a sum of consecutive naturals, for example, 154814 + ... + 155522.

Almost surely, 2110014112 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 110014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117103140).

110014112 is an abundant number, since it is smaller than the sum of its proper divisors (124192168).

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

110014112 is a wasteful number, since it uses less digits than its factorization.

110014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 110014112 is about 10488.7612233285. The cubic root of 110014112 is about 479.1624746838.

Adding to 110014112 its reverse (211410011), we get a palindrome (321424123).

The spelling of 110014112 in words is "one hundred ten million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 373 416 709 746 1418 1492 2836 2984 4849 5672 5968 9217 9698 11344 11936 18434 19396 22688 36868 38792 73736 77584 147472 155168 264457 294944 528914 1057828 2115656 3437941 4231312 6875882 8462624 13751764 27503528 55007056 110014112