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110042010 = 233513107293
BaseRepresentation
bin1101000111100…
…01101110011010
321200001201021000
412203301232122
5211132321020
614530325430
72504225121
oct643615632
9250051230
10110042010
1157130211
1230a29876
1319a4b520
1410886ab8
1599da090
hex68f1b9a

110042010 has 128 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 26742528.

The previous prime is 110041963. The next prime is 110042011. The reversal of 110042010 is 10240011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 110041983 and 110042001.

It is not an unprimeable number, because it can be changed into a prime (110042011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375424 + ... + 375716.

It is an arithmetic number, because the mean of its divisors is an integer number (2500470).

Almost surely, 2110042010 is an apocalyptic number.

110042010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

110042010 is an abundant number, since it is smaller than the sum of its proper divisors (210018150).

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

110042010 is a wasteful number, since it uses less digits than its factorization.

110042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 110042010 is about 10490.0910386898. The cubic root of 110042010 is about 479.2029741696.

Adding to 110042010 its reverse (10240011), we get a palindrome (120282021).

The spelling of 110042010 in words is "one hundred ten million, forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 293 321 351 390 535 585 586 642 702 879 963 1070 1170 1391 1465 1605 1755 1758 1926 2637 2782 2889 2930 3210 3510 3809 4173 4395 4815 5274 5778 6955 7618 7911 8346 8790 9630 11427 12519 13185 13910 14445 15822 19045 20865 22854 25038 26370 28890 31351 34281 37557 38090 39555 41730 57135 62595 62702 68562 75114 79110 94053 102843 114270 125190 156755 171405 187785 188106 205686 282159 313510 342810 375570 407563 470265 514215 564318 815126 846477 940530 1028430 1222689 1410795 1692954 2037815 2445378 2821590 3668067 4075630 4232385 6113445 7336134 8464770 11004201 12226890 18340335 22008402 36680670 55021005 110042010