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2002012200020 = 225765921699677
BaseRepresentation
bin11101001000100001001…
…110011101110001010100
321002101112200011012110202
4131020201032131301110
5230300110110400040
64131413421240032
7264432504631310
oct35104116356124
97071480135422
102002012200020
11702059770508
12284005a03018
13116a343c0781
146cc7dc02b40
15371249a0015
hex1d22139dc54

2002012200020 has 48 divisors (see below), whose sum is σ = 4812120593280. Its totient is φ = 685362566784.

The previous prime is 2002012199977. The next prime is 2002012200047. The reversal of 2002012200020 is 200022102002.

It is a junction number, because it is equal to n+sod(n) for n = 2002012199974 and 2002012200010.

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 15 ways as a sum of consecutive naturals, for example, 10757579 + ... + 10942098.

It is an arithmetic number, because the mean of its divisors is an integer number (100252512360).

Almost surely, 22002012200020 is an apocalyptic number.

2002012200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002012200020 is an abundant number, since it is smaller than the sum of its proper divisors (2810108393260).

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

2002012200020 is a wasteful number, since it uses less digits than its factorization.

2002012200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21700352 (or 21700350 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2002012200020 its reverse (200022102002), we get a palindrome (2202034302022).

The spelling of 2002012200020 in words is "two trillion, two billion, twelve million, two hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 659 1318 2636 3295 4613 6590 9226 13180 18452 23065 46130 92260 21699677 43399354 86798708 108498385 151897739 216996770 303795478 433993540 607590956 759488695 1518977390 3037954780 14300087143 28600174286 57200348572 71500435715 100100610001 143000871430 200201220002 286001742860 400402440004 500503050005 1001006100010 2002012200020