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110122112 = 271734973
BaseRepresentation
bin1101001000001…
…01010010000000
321200012210010202
412210011102000
5211142401422
614532144332
72505010502
oct644052200
9250183122
10110122112
1157185411
1230a680a8
1319a78b19
14108a7d72
159a03b92
hex6905480

110122112 has 32 divisors (see below), whose sum is σ = 220696380. Its totient is φ = 54731776.

The previous prime is 110122093. The next prime is 110122121. The reversal of 110122112 is 211221011.

It can be written as a sum of positive squares in 2 ways, for example, as 99520576 + 10601536 = 9976^2 + 3256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 110122093 and 110122102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19658 + ... + 24630.

Almost surely, 2110122112 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 110122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110348190).

110122112 is an abundant number, since it is smaller than the sum of its proper divisors (110574268).

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

110122112 is an equidigital number, since it uses as much as digits as its factorization.

110122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5160 (or 5148 counting only the distinct ones).

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

The square root of 110122112 is about 10493.9083281683. The cubic root of 110122112 is about 479.3192200973.

Adding to 110122112 its reverse (211221011), we get a palindrome (321343123).

The spelling of 110122112 in words is "one hundred ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 4973 5536 9946 11072 19892 22144 39784 79568 159136 318272 636544 860329 1720658 3441316 6882632 13765264 27530528 55061056 110122112