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2011022112020 = 225101995555501
BaseRepresentation
bin11101010000111010010…
…000100011010100010100
321010020210120220011012012
4131100322100203110110
5230422033130041040
64135503435043352
7265202000624315
oct35207220432424
97106716804165
102011022112020
11705962611779
122858bb2a0558
1311783bc3154c
146d49667860c
15374a0988865
hex1d43a423514

2011022112020 has 24 divisors (see below), whose sum is σ = 4264959770568. Its totient is φ = 796444400000.

The previous prime is 2011022111983. The next prime is 2011022112049. The reversal of 2011022112020 is 202112201102.

It can be written as a sum of positive squares in 4 ways, for example, as 692759911684 + 1318262200336 = 832322^2 + 1148156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2011022111986 and 2011022112004.

It is a congruent number.

It is an unprimeable number.

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, 497775731 + ... + 497779770.

It is an arithmetic number, because the mean of its divisors is an integer number (177706657107).

Almost surely, 22011022112020 is an apocalyptic number.

2011022112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011022112020 is an abundant number, since it is smaller than the sum of its proper divisors (2253937658548).

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

2011022112020 is a wasteful number, since it uses less digits than its factorization.

2011022112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995555611 (or 995555609 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2011022112020 its reverse (202112201102), we get a palindrome (2213134313122).

The spelling of 2011022112020 in words is "two trillion, eleven billion, twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 995555501 1991111002 3982222004 4977777505 9955555010 19911110020 100551105601 201102211202 402204422404 502755528005 1005511056010 2011022112020