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2110112121220 = 2251013677284093
BaseRepresentation
bin11110101101001100011…
…110111100000110000100
321110201120100020011201221
4132231030132330012010
5234033002200334340
64253212213530124
7305310355043365
oct36551436740604
97421510204657
102110112121220
11743991311264
122a0b54343944
13123ca1059c9c
14741b68dbb6c
1539d4ed7144a
hex1eb4c7bc184

2110112121220 has 48 divisors (see below), whose sum is σ = 4476341883888. Its totient is φ = 835457753600.

The previous prime is 2110112121193. The next prime is 2110112121241. The reversal of 2110112121220 is 221212110112.

It can be written as a sum of positive squares in 8 ways, for example, as 1024148048004 + 1085964073216 = 1012002^2 + 1042096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2110112121194 and 2110112121203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285494 + ... + 7569586.

It is an arithmetic number, because the mean of its divisors is an integer number (93257122581).

Almost surely, 22110112121220 is an apocalyptic number.

2110112121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110112121220 is an abundant number, since it is smaller than the sum of its proper divisors (2366229762668).

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

2110112121220 is a wasteful number, since it uses less digits than its factorization.

2110112121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287880 (or 287878 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2110112121220 its reverse (221212110112), we get a palindrome (2331324231332).

The spelling of 2110112121220 in words is "two trillion, one hundred ten billion, one hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 3677 7354 14708 18385 36770 73540 284093 371377 568186 742754 1136372 1420465 1485508 1856885 2840930 3713770 5681860 7427540 28693393 57386786 114773572 143466965 286933930 573867860 1044609961 2089219922 4178439844 5223049805 10446099610 20892199220 105505606061 211011212122 422022424244 527528030305 1055056060610 2110112121220