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2002011200020 = 225138818740117
BaseRepresentation
bin11101001000100001001…
…010101001101000010100
321002101112121021101201201
4131020201022221220110
5230300104331400040
64131413344002244
7264432463264666
oct35104112515024
97071477241651
102002011200020
11702059148167
12284005600384
13116a34130560
146cc7da22536
1537124853a9a
hex1d2212a9a14

2002011200020 has 48 divisors (see below), whose sum is σ = 4532765036688. Its totient is φ = 738364999680.

The previous prime is 2002011199987. The next prime is 2002011200027. The reversal of 2002011200020 is 200021102002.

It can be written as a sum of positive squares in 8 ways, for example, as 839470083076 + 1162541116944 = 916226^2 + 1078212^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002011200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4140999 + ... + 4599118.

It is an arithmetic number, because the mean of its divisors is an integer number (94432604931).

Almost surely, 22002011200020 is an apocalyptic number.

2002011200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002011200020 is an abundant number, since it is smaller than the sum of its proper divisors (2530753836668).

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

2002011200020 is a wasteful number, since it uses less digits than its factorization.

2002011200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741020 (or 8741018 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2002011200020 its reverse (200021102002), we get a palindrome (2202032302022).

The spelling of 2002011200020 in words is "two trillion, two billion, eleven million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 881 1762 3524 4405 8810 11453 17620 22906 45812 57265 114530 229060 8740117 17480234 34960468 43700585 87401170 113621521 174802340 227243042 454486084 568107605 1136215210 2272430420 7700043077 15400086154 30800172308 38500215385 77000430770 100100560001 154000861540 200201120002 400402240004 500502800005 1001005600010 2002011200020