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110042442 = 23323412161
BaseRepresentation
bin1101000111100…
…01110101001010
321200001201212000
412203301311022
5211132324232
614530331430
72504226306
oct643616512
9250051760
10110042442
1157130574
1230a29b76
1319a4b793
1410886d06
1599da27c
hex68f1d4a

110042442 has 64 divisors (see below), whose sum is σ = 261515520. Its totient is φ = 34214400.

The previous prime is 110042437. The next prime is 110042453. The reversal of 110042442 is 244240011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49842 + ... + 52002.

It is an arithmetic number, because the mean of its divisors is an integer number (4086180).

Almost surely, 2110042442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110042442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130757760).

110042442 is an abundant number, since it is smaller than the sum of its proper divisors (151473078).

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

110042442 is a wasteful number, since it uses less digits than its factorization.

110042442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 110042442 is about 10490.1116295300. Note that the first 3 decimals coincide. The cubic root of 110042442 is about 479.2036012496.

Adding to 110042442 its reverse (244240011), we get a palindrome (354282453).

The spelling of 110042442 in words is "one hundred ten million, forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 41 46 54 69 82 123 138 207 246 369 414 621 738 943 1107 1242 1886 2161 2214 2829 4322 5658 6483 8487 12966 16974 19449 25461 38898 49703 50922 58347 88601 99406 116694 149109 177202 265803 298218 447327 531606 797409 894654 1341981 1594818 2037823 2392227 2683962 4075646 4784454 6113469 12226938 18340407 36680814 55021221 110042442