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110120130320 = 24510113628729
BaseRepresentation
bin110011010001110101…
…0111101011100010000
3101112020110110020012012
41212203222331130100
53301011223132240
6122331040322052
710645610443424
oct1464352753420
9345213406165
10110120130320
1142779a40872
1219413013328
13a4cc36b235
145489134b84
152ce7926b65
hex19a3abd710

110120130320 has 40 divisors (see below), whose sum is σ = 258564265560. Its totient is φ = 43611929600.

The previous prime is 110120130299. The next prime is 110120130349. The reversal of 110120130320 is 23031021011.

It can be written as a sum of positive squares in 4 ways, for example, as 28040172304 + 82079958016 = 167452^2 + 286496^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 110120130295 and 110120130304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6806285 + ... + 6822444.

It is an arithmetic number, because the mean of its divisors is an integer number (6464106639).

Almost surely, 2110120130320 is an apocalyptic number.

110120130320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120130320 is an abundant number, since it is smaller than the sum of its proper divisors (148444135240).

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

110120130320 is a wasteful number, since it uses less digits than its factorization.

110120130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13628843 (or 13628837 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 110120130320 its reverse (23031021011), we get a palindrome (133151151331).

The spelling of 110120130320 in words is "one hundred ten billion, one hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 8080 13628729 27257458 54514916 68143645 109029832 136287290 218059664 272574580 545149160 1090298320 1376501629 2753003258 5506006516 6882508145 11012013032 13765016290 22024026064 27530032580 55060065160 110120130320