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2021020020 = 2232511227889
BaseRepresentation
bin111100001110110…
…0101000101110100
312012211220110021100
41320131211011310
513114340120040
6532313250100
7101040246435
oct17035450564
95184813240
102021020020
119478a4288
12484a03930
13262926b46
141525ab48c
15bc665b30
hex78765174

2021020020 has 36 divisors (see below), whose sum is σ = 6130427940. Its totient is φ = 538938624.

The previous prime is 2021020007. The next prime is 2021020021. The reversal of 2021020020 is 200201202.

It can be written as a sum of positive squares in 2 ways, for example, as 1278348516 + 742671504 = 35754^2 + 27252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2021019984 and 2021020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021020021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5613765 + ... + 5614124.

It is an arithmetic number, because the mean of its divisors is an integer number (170289665).

Almost surely, 22021020020 is an apocalyptic number.

2021020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021020020 is an abundant number, since it is smaller than the sum of its proper divisors (4109407920).

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

2021020020 is a wasteful number, since it uses less digits than its factorization.

2021020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11227904 (or 11227899 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2021020020 is about 44955.7562498953. The cubic root of 2021020020 is about 1264.3196036934.

Adding to 2021020020 its reverse (200201202), we get a palindrome (2221221222).

The spelling of 2021020020 in words is "two billion, twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11227889 22455778 33683667 44911556 56139445 67367334 101051001 112278890 134734668 168418335 202102002 224557780 336836670 404204004 505255005 673673340 1010510010 2021020020