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2002020200420 = 225236017241627
BaseRepresentation
bin11101001000100001101…
…100111110111111100100
321002101120020012122221212
4131020201230332333210
5230300114132403140
64131414304530552
7264432632632142
oct35104154767744
97071506178855
102002020200420
11702063235309
12284008620a58
13116a35c62136
146cc80cc6592
1537125530765
hex1d221b3efe4

2002020200420 has 48 divisors (see below), whose sum is σ = 4394335736448. Its totient is φ = 764715705600.

The previous prime is 2002020200393. The next prime is 2002020200423. The reversal of 2002020200420 is 240020202002.

It is a junction number, because it is equal to n+sod(n) for n = 2002020200395 and 2002020200404.

It is not an unprimeable number, because it can be changed into a prime (2002020200423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3344354 + ... + 3897273.

It is an arithmetic number, because the mean of its divisors is an integer number (91548661176).

Almost surely, 22002020200420 is an apocalyptic number.

2002020200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002020200420 is an abundant number, since it is smaller than the sum of its proper divisors (2392315536028).

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

2002020200420 is a wasteful number, since it uses less digits than its factorization.

2002020200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242260 (or 7242258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 2002020200420 its reverse (240020202002), we get a palindrome (2242040402422).

The spelling of 2002020200420 in words is "two trillion, two billion, twenty million, two hundred thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 601 1202 2404 3005 6010 12020 13823 27646 55292 69115 138230 276460 7241627 14483254 28966508 36208135 72416270 144832540 166557421 333114842 666229684 832787105 1665574210 3331148420 4352217827 8704435654 17408871308 21761089135 43522178270 87044356540 100101010021 200202020042 400404040084 500505050105 1001010100210 2002020200420