Search a number
-
+
110410112 = 277112149
BaseRepresentation
bin1101001010010…
…11100110000000
321200202102012102
412211023212000
5211231110422
614542245532
72510320241
oct645134600
9250672172
10110410112
115736182a
1230b868a8
1319b49c37
1410940cc8
159a5e192
hex694b980

110410112 has 32 divisors (see below), whose sum is σ = 223074000. Its totient is φ = 54423040.

The previous prime is 110410103. The next prime is 110410123. The reversal of 110410112 is 211014011.

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 = 110410093 and 110410102.

It is a congruent number.

It is an unprimeable number.

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, 3014 + ... + 15162.

Almost surely, 2110410112 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 110410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537000).

110410112 is an abundant number, since it is smaller than the sum of its proper divisors (112663888).

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

110410112 is an equidigital number, since it uses as much as digits as its factorization.

110410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12234 (or 12222 counting only the distinct ones).

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

The square root of 110410112 is about 10507.6216148089. The cubic root of 110410112 is about 479.7367074554.

Adding to 110410112 its reverse (211014011), we get a palindrome (321424123).

The spelling of 110410112 in words is "one hundred ten million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 284 568 1136 2272 4544 9088 12149 24298 48596 97192 194384 388768 777536 862579 1555072 1725158 3450316 6900632 13801264 27602528 55205056 110410112