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110110044 = 223115315739
BaseRepresentation
bin1101001000000…
…10010101011100
321200012011120210
412210002111130
5211142010134
614532012420
72504630352
oct644022534
9250164523
10110110044
1157177340
1230a61110
1319a73495
14108a37d2
159a002e9
hex690255c

110110044 has 48 divisors (see below), whose sum is σ = 285586560. Its totient is φ = 32735040.

The previous prime is 110110043. The next prime is 110110069. The reversal of 110110044 is 440011011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110043) 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 15 ways as a sum of consecutive naturals, for example, 874 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (5949720).

Almost surely, 2110110044 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 110110044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142793280).

110110044 is an abundant number, since it is smaller than the sum of its proper divisors (175476516).

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

110110044 is a wasteful number, since it uses less digits than its factorization.

110110044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15810 (or 15808 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 110110044 is about 10493.3333121559. Note that the first 4 decimals coincide. The cubic root of 110110044 is about 479.3017103361.

Adding to 110110044 its reverse (440011011), we get a palindrome (550121055).

The spelling of 110110044 in words is "one hundred ten million, one hundred ten thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 15739 31478 47217 62956 94434 173129 188868 346258 519387 692516 834167 1038774 1668334 2077548 2502501 3336668 5005002 9175837 10010004 18351674 27527511 36703348 55055022 110110044