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11112110020 = 2251124591781
BaseRepresentation
bin10100101100101010…
…10101011111000100
31001200102101200021101
422112111111133010
5140224200010040
65034351025444
7542240243134
oct122625253704
931612350241
1011112110020
114792550800
1221a150b284
13108121b23b
14775b34ac4
1545083709a
hex2965557c4

11112110020 has 36 divisors (see below), whose sum is σ = 25649694252. Its totient is φ = 4040766400.

The previous prime is 11112110017. The next prime is 11112110021. The reversal of 11112110020 is 2001121111.

11112110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1690689924 + 9421420096 = 41118^2 + 97064^2 .

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 = 11112109979 and 11112110006.

It is not an unprimeable number, because it can be changed into a prime (11112110021) 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 11 ways as a sum of consecutive naturals, for example, 2293471 + ... + 2298310.

It is an arithmetic number, because the mean of its divisors is an integer number (712491507).

Almost surely, 211112110020 is an apocalyptic number.

11112110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11112110020 is an abundant number, since it is smaller than the sum of its proper divisors (14537584232).

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

11112110020 is a wasteful number, since it uses less digits than its factorization.

11112110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4591812 (or 4591799 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11112110020 its reverse (2001121111), we get a palindrome (13113231131).

The spelling of 11112110020 in words is "eleven billion, one hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 4591781 9183562 18367124 22958905 45917810 50509591 91835620 101019182 202038364 252547955 505095910 555605501 1010191820 1111211002 2222422004 2778027505 5556055010 11112110020