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110130042 = 231119312833
BaseRepresentation
bin1101001000001…
…11001101111010
321200020012000110
412210013031322
5211143130132
614532245150
72505042561
oct644071572
9250205013
10110130042
1157190370
1230a707b6
1319a7c609
14108aabd8
159a061cc
hex690737a

110130042 has 64 divisors (see below), whose sum is σ = 261181440. Its totient is φ = 30585600.

The previous prime is 110130001. The next prime is 110130047. The reversal of 110130042 is 240031011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (110130047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37458 + ... + 40290.

It is an arithmetic number, because the mean of its divisors is an integer number (4080960).

Almost surely, 2110130042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110130042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130590720).

110130042 is an abundant number, since it is smaller than the sum of its proper divisors (151051398).

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

110130042 is a wasteful number, since it uses less digits than its factorization.

110130042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2899.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 110130042 is about 10494.2861596204. The cubic root of 110130042 is about 479.3307252350.

Adding to 110130042 its reverse (240031011), we get a palindrome (350161053).

The spelling of 110130042 in words is "one hundred ten million, one hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 114 186 209 341 418 589 627 682 1023 1178 1254 1767 2046 2833 3534 5666 6479 8499 12958 16998 19437 31163 38874 53827 62326 87823 93489 107654 161481 175646 186978 263469 322962 526938 592097 966053 1184194 1668637 1776291 1932106 2898159 3337274 3552582 5005911 5796318 10011822 18355007 36710014 55065021 110130042