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2002011200019 = 321732363404321
BaseRepresentation
bin11101001000100001001…
…010101001101000010011
321002101112121021101201200
4131020201022221220103
5230300104331400034
64131413344002243
7264432463264665
oct35104112515023
97071477241650
102002011200019
11702059148166
12284005600383
13116a3413055c
146cc7da22535
1537124853a99
hex1d2212a9a13

2002011200019 has 24 divisors (see below), whose sum is σ = 3062001666672. Its totient is φ = 1256121968640.

The previous prime is 2002011199987. The next prime is 2002011200027. The reversal of 2002011200019 is 9100021102002.

It is not a de Polignac number, because 2002011200019 - 25 = 2002011199987 is a prime.

It is a super-2 number, since 2×20020112000192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002011199974 and 2002011200010.

It is not an unprimeable number, because it can be changed into a prime (2002011200069) 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 23 ways as a sum of consecutive naturals, for example, 4749379 + ... + 5153699.

It is an arithmetic number, because the mean of its divisors is an integer number (127583402778).

Almost surely, 22002011200019 is an apocalyptic number.

2002011200019 is a deficient number, since it is larger than the sum of its proper divisors (1059990466653).

2002011200019 is a wasteful number, since it uses less digits than its factorization.

2002011200019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436707 (or 436704 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 2002011200019 in words is "two trillion, two billion, eleven million, two hundred thousand, nineteen".

Divisors: 1 3 9 17 51 153 32363 97089 291267 404321 550171 1212963 1650513 3638889 4951539 6873457 20620371 61861113 13085040523 39255121569 117765364707 222445688891 667337066673 2002011200019