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110111200020 = 22325611728889
BaseRepresentation
bin110011010001100100…
…0111001001100010100
3101112012211122112010100
41212203020321030110
53301001431400040
6122330121054100
710645441520523
oct1464310711424
9345184575110
10110111200020
11427749a1358
1219410027330
13a4ca562533
145487c8c4ba
152ce6c60b30
hex19a3239314

110111200020 has 36 divisors (see below), whose sum is σ = 334003973940. Its totient is φ = 29362986624.

The previous prime is 110111199997. The next prime is 110111200027. The reversal of 110111200020 is 20002111011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 78616308996 + 31494891024 = 280386^2 + 177468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 110111199975 and 110111200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111200027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305864265 + ... + 305864624.

It is an arithmetic number, because the mean of its divisors is an integer number (9277888165).

Almost surely, 2110111200020 is an apocalyptic number.

110111200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110111200020 is an abundant number, since it is smaller than the sum of its proper divisors (223892773920).

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

110111200020 is a wasteful number, since it uses less digits than its factorization.

110111200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611728904 (or 611728899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 110111200020 its reverse (20002111011), we get a palindrome (130113311031).

The spelling of 110111200020 in words is "one hundred ten billion, one hundred eleven million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 611728889 1223457778 1835186667 2446915556 3058644445 3670373334 5505560001 6117288890 7340746668 9175933335 11011120002 12234577780 18351866670 22022240004 27527800005 36703733340 55055600010 110111200020