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110110442130 = 23251394111489
BaseRepresentation
bin110011010001100011…
…0000000001010010010
3101112012210020000111100
41212203012000022102
53301001233122010
6122330052525230
710645432213113
oct1464306001222
9345183200440
10110110442130
11427745239a7
121940b920816
13a4ca358590
145487b3220a
152ce6b612c0
hex19a3180292

110110442130 has 48 divisors (see below), whose sum is σ = 308309241240. Its totient is φ = 27104108544.

The previous prime is 110110442107. The next prime is 110110442149. The reversal of 110110442130 is 31244011011.

110110442130 is a `hidden beast` number, since 110 + 1 + 104 + 421 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77976653049 + 32133789081 = 279243^2 + 179259^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47054575 + ... + 47056914.

Almost surely, 2110110442130 is an apocalyptic number.

110110442130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

110110442130 is an abundant number, since it is smaller than the sum of its proper divisors (198198799110).

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

110110442130 is a wasteful number, since it uses less digits than its factorization.

110110442130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94111515 (or 94111512 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 110110442130 its reverse (31244011011), we get a palindrome (141354453141).

The spelling of 110110442130 in words is "one hundred ten billion, one hundred ten million, four hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 94111489 188222978 282334467 470557445 564668934 847003401 941114890 1223449357 1411672335 1694006802 2446898714 2823344670 3670348071 4235017005 6117246785 7340696142 8470034010 11011044213 12234493570 18351740355 22022088426 36703480710 55055221065 110110442130