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2001201120020 = 225135173740237
BaseRepresentation
bin11101000111110000111…
…000011100001100010100
321002022110010222001212202
4131013300320130030110
5230241424441320040
64131201125104032
7264403425566504
oct35076070341424
97068403861782
102001201120020
11701782952063
12283a1a258018
1311693535b58b
146cc041d1a04
15370c868a015
hex1d1f0e1c314

2001201120020 has 24 divisors (see below), whose sum is σ = 4202559119304. Its totient is φ = 800473444736.

The previous prime is 2001201120019. The next prime is 2001201120049. The reversal of 2001201120020 is 200211021002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 810579703684 + 1190621416336 = 900322^2 + 1091156^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001201119983 and 2001201120010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2333342 + ... + 3073578.

It is an arithmetic number, because the mean of its divisors is an integer number (175106629971).

Almost surely, 22001201120020 is an apocalyptic number.

2001201120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001201120020 is an abundant number, since it is smaller than the sum of its proper divisors (2201357999284).

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

2001201120020 is a wasteful number, since it uses less digits than its factorization.

2001201120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875419 (or 875417 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2001201120020 its reverse (200211021002), we get a palindrome (2201412141022).

The spelling of 2001201120020 in words is "two trillion, one billion, two hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 135173 270346 540692 675865 740237 1351730 1480474 2703460 2960948 3701185 7402370 14804740 100060056001 200120112002 400240224004 500300280005 1000600560010 2001201120020