Search a number
-
+
110120012020 = 2257337511597
BaseRepresentation
bin110011010001110101…
…0100000100011110100
3101112020110020012220201
41212203222200203310
53301011210341040
6122331034010244
710645606441504
oct1464352404364
9345213205821
10110120012020
114277996a9a7
1219412b76984
13a4cc329435
145489103a04
152ce7901a9a
hex19a3aa08f4

110120012020 has 24 divisors (see below), whose sum is σ = 231567543144. Its totient is φ = 43987906176.

The previous prime is 110120011993. The next prime is 110120012021. The reversal of 110120012020 is 20210021011.

It can be written as a sum of positive squares in 4 ways, for example, as 7849251216 + 102270760804 = 88596^2 + 319798^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110120011988 and 110120012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120012021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3741139 + ... + 3770458.

It is an arithmetic number, because the mean of its divisors is an integer number (9648647631).

Almost surely, 2110120012020 is an apocalyptic number.

110120012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120012020 is an abundant number, since it is smaller than the sum of its proper divisors (121447531124).

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

110120012020 is a wasteful number, since it uses less digits than its factorization.

110120012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512339 (or 7512337 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 110120012020 its reverse (20210021011), we get a palindrome (130330033031).

The spelling of 110120012020 in words is "one hundred ten billion, one hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 733 1466 2932 3665 7330 14660 7511597 15023194 30046388 37557985 75115970 150231940 5506000601 11012001202 22024002404 27530003005 55060006010 110120012020