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2100012020 = 225105000601
BaseRepresentation
bin111110100101011…
…1010001111110100
312102100112122220222
41331022322033310
513300100341040
6544214313512
7103016544011
oct17512721764
95370478828
102100012020
11988447127
124a7358898
132760c3482
1415cc90708
15c456abb5
hex7d2ba3f4

2100012020 has 12 divisors (see below), whose sum is σ = 4410025284. Its totient is φ = 840004800.

The previous prime is 2100012017. The next prime is 2100012121. The reversal of 2100012020 is 202100012.

It can be written as a sum of positive squares in 2 ways, for example, as 281501284 + 1818510736 = 16778^2 + 42644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2100011989 and 2100012007.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 52500281 + ... + 52500320.

It is an arithmetic number, because the mean of its divisors is an integer number (367502107).

Almost surely, 22100012020 is an apocalyptic number.

2100012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100012020 is an abundant number, since it is smaller than the sum of its proper divisors (2310013264).

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

2100012020 is a wasteful number, since it uses less digits than its factorization.

2100012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105000610 (or 105000608 counting only the distinct ones).

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

The square root of 2100012020 is about 45825.8880983228. Note that the first 3 decimals coincide. The cubic root of 2100012020 is about 1280.5816082466.

Adding to 2100012020 its reverse (202100012), we get a palindrome (2302112032).

The spelling of 2100012020 in words is "two billion, one hundred million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 105000601 210001202 420002404 525003005 1050006010 2100012020