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2021200100 = 225220212001
BaseRepresentation
bin111100001111001…
…0001000011100100
312012212020121021222
41320132101003210
513114411400400
6532321155512
7101041626443
oct17036210344
95185217258
102021200100
11947a07607
12484a8bb98
1326298aaba
14152616d5a
15bc69e185
hex787910e4

2021200100 has 18 divisors (see below), whose sum is σ = 4386004434. Its totient is φ = 808480000.

The previous prime is 2021200099. The next prime is 2021200157. The reversal of 2021200100 is 10021202.

It can be written as a sum of positive squares in 3 ways, for example, as 8421604 + 2012778496 = 2902^2 + 44864^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10105901 + ... + 10106100.

It is an arithmetic number, because the mean of its divisors is an integer number (243666913).

Almost surely, 22021200100 is an apocalyptic number.

2021200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2021200100 is an abundant number, since it is smaller than the sum of its proper divisors (2364804334).

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

2021200100 is a wasteful number, since it uses less digits than its factorization.

2021200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20212015 (or 20212008 counting only the distinct ones).

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

The square root of 2021200100 is about 44957.7590633697. The cubic root of 2021200100 is about 1264.3571543543.

Adding to 2021200100 its reverse (10021202), we get a palindrome (2031221302).

The spelling of 2021200100 in words is "two billion, twenty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20212001 40424002 80848004 101060005 202120010 404240020 505300025 1010600050 2021200100