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2002021110020 = 225337297035773
BaseRepresentation
bin11101001000100001110…
…000011101000100000100
321002101120021220212200202
4131020201300131010010
5230300114401010040
64131414340230032
7264432643441061
oct35104160350404
97071507825622
102002021110020
117020637a6748
1228400899b318
13116a361c0169
146cc81081c68
1537125660015
hex1d221c1d104

2002021110020 has 24 divisors (see below), whose sum is σ = 4216719847704. Its totient is φ = 798432155136.

The previous prime is 2002021109927. The next prime is 2002021110041. The reversal of 2002021110020 is 200111202002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 68803388416 + 1933217721604 = 262304^2 + 1390402^2 .

It is a super-3 number, since 3×20020211100203 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002021109983 and 2002021110010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148511147 + ... + 148524626.

It is an arithmetic number, because the mean of its divisors is an integer number (175696660321).

Almost surely, 22002021110020 is an apocalyptic number.

2002021110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002021110020 is an abundant number, since it is smaller than the sum of its proper divisors (2214698737684).

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

2002021110020 is a wasteful number, since it uses less digits than its factorization.

2002021110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297036119 (or 297036117 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2002021110020 its reverse (200111202002), we get a palindrome (2202132312022).

The spelling of 2002021110020 in words is "two trillion, two billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 297035773 594071546 1188143092 1485178865 2970357730 5940715460 100101055501 200202111002 400404222004 500505277505 1001010555010 2002021110020