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110042112 = 2103113317
BaseRepresentation
bin1101000111100…
…01110000000000
321200001201101210
412203301300000
5211132321422
614530330120
72504225325
oct643616000
9250051353
10110042112
11571302a4
1230a29940
1319a4b59b
1410886b4c
1599da10c
hex68f1c00

110042112 has 88 divisors (see below), whose sum is σ = 296831376. Its totient is φ = 36241408.

The previous prime is 110042111. The next prime is 110042113. The reversal of 110042112 is 211240011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (110042111) and next prime (110042113).

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 (110042111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 346978 + ... + 347294.

Almost surely, 2110042112 is an apocalyptic number.

110042112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148415688).

110042112 is an abundant number, since it is smaller than the sum of its proper divisors (186789264).

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

110042112 is a wasteful number, since it uses less digits than its factorization.

110042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

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

The square root of 110042112 is about 10490.0959004196. The cubic root of 110042112 is about 479.2031222303.

Adding to 110042112 its reverse (211240011), we get a palindrome (321282123).

The spelling of 110042112 in words is "one hundred ten million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 317 339 384 452 512 634 678 768 904 951 1024 1268 1356 1536 1808 1902 2536 2712 3072 3616 3804 5072 5424 7232 7608 10144 10848 14464 15216 20288 21696 28928 30432 35821 40576 43392 57856 60864 71642 81152 86784 107463 115712 121728 143284 162304 173568 214926 243456 286568 324608 347136 429852 486912 573136 859704 973824 1146272 1719408 2292544 3438816 4585088 6877632 9170176 13755264 18340352 27510528 36680704 55021056 110042112