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2020202132200 = 235273253443591
BaseRepresentation
bin11101011001011101011…
…011100011001011101000
321011010111100201111110121
4131121131123203023220
5231044333221212300
64144022410453024
7265645330536460
oct35313533431350
97133440644417
102020202132200
1170984348980a
12287641734174
13118672a91955
146dac7950ba0
153783b87481a
hex1d65d6e32e8

2020202132200 has 96 divisors (see below), whose sum is σ = 5369627928960. Its totient is φ = 692426246400.

The previous prime is 2020202132177. The next prime is 2020202132243. The reversal of 2020202132200 is 22312020202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4332405 + ... + 4775995.

It is an arithmetic number, because the mean of its divisors is an integer number (55933624260).

Almost surely, 22020202132200 is an apocalyptic number.

2020202132200 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 2020202132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684813964480).

2020202132200 is an abundant number, since it is smaller than the sum of its proper divisors (3349425796760).

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

2020202132200 is a wasteful number, since it uses less digits than its factorization.

2020202132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446867 (or 446858 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2020202132200 its reverse (22312020202), we get a palindrome (2042514152402).

The spelling of 2020202132200 in words is "two trillion, twenty billion, two hundred two million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 3253 6506 13012 16265 22771 26024 32530 45542 65060 81325 91084 113855 130120 162650 182168 227710 325300 443591 455420 569275 650600 887182 910840 1138550 1774364 2217955 2277100 3105137 3548728 4435910 4554200 6210274 8871820 11089775 12420548 15525685 17743640 22179550 24841096 31051370 44359100 62102740 77628425 88718200 124205480 155256850 310513700 621027400 1443001523 2886003046 5772006092 7215007615 10101010661 11544012184 14430015230 20202021322 28860030460 36075038075 40404042644 50505053305 57720060920 72150076150 80808085288 101010106610 144300152300 202020213220 252525266525 288600304600 404040426440 505050533050 1010101066100 2020202132200