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2020111100 = 2252710128573
BaseRepresentation
bin111100001101000…
…0111001011111100
312012210012021110122
41320122013023330
513114122023400
6532241554112
7101026442510
oct17032071374
95183167418
102020111100
11947333407
12484645938
13262699217
14152412140
15bc536685
hex786872fc

2020111100 has 72 divisors (see below), whose sum is σ = 5059655328. Its totient is φ = 685728000.

The previous prime is 2020111081. The next prime is 2020111111. The reversal of 2020111100 is 11110202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56414 + ... + 84986.

Almost surely, 22020111100 is an apocalyptic number.

2020111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529827664).

2020111100 is an abundant number, since it is smaller than the sum of its proper divisors (3039544228).

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

2020111100 is a wasteful number, since it uses less digits than its factorization.

2020111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28695 (or 28688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2020111100 is about 44945.6460627723. The cubic root of 2020111100 is about 1264.1300397309.

Adding to 2020111100 its reverse (11110202), we get a palindrome (2031221302).

The spelling of 2020111100 in words is "two billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 28573 35350 57146 70700 114292 142865 200011 285730 400022 571460 714325 800044 1000055 1428650 2000110 2857300 2885873 4000220 5000275 5771746 10000550 11543492 14429365 20001100 20201111 28858730 40402222 57717460 72146825 80804444 101005555 144293650 202011110 288587300 404022220 505027775 1010055550 2020111100