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2010020020 = 225229438869
BaseRepresentation
bin111011111001110…
…0111100010110100
312012002012121002221
41313303213202310
513104031120040
6531241412124
7100544613451
oct16763474264
95162177087
102010020020
11941670878
1248119a044
13260575078
14150d46828
15bb6e174a
hex77ce78b4

2010020020 has 24 divisors (see below), whose sum is σ = 4239484200. Its totient is φ = 800495232.

The previous prime is 2010020009. The next prime is 2010020021. The reversal of 2010020020 is 200200102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1304798884 + 705221136 = 36122^2 + 26556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2010019985 and 2010020012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010020021) by changing a digit.

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, 214855 + ... + 224014.

It is an arithmetic number, because the mean of its divisors is an integer number (176645175).

Almost surely, 22010020020 is an apocalyptic number.

2010020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010020020 is an abundant number, since it is smaller than the sum of its proper divisors (2229464180).

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

2010020020 is a wasteful number, since it uses less digits than its factorization.

2010020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439107 (or 439105 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2010020020 is about 44833.2468152821. The cubic root of 2010020020 is about 1262.0216181877.

Adding to 2010020020 its reverse (200200102), we get a palindrome (2210220122).

The spelling of 2010020020 in words is "two billion, ten million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 438869 877738 1755476 2194345 4388690 8777380 100501001 201002002 402004004 502505005 1005010010 2010020020