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2020331300 = 2252131554101
BaseRepresentation
bin111100001101011…
…1100111100100100
312012210121110112012
41320122330330210
513114201100200
6532250413352
7101031350501
oct17032747444
95183543465
102020331300
11947473899
12484731258
13262745510
1415246c4a8
15bc57ba35
hex786bcf24

2020331300 has 36 divisors (see below), whose sum is σ = 4721361876. Its totient is φ = 745968000.

The previous prime is 2020331281. The next prime is 2020331309. The reversal of 2020331300 is 31330202.

It can be written as a sum of positive squares in 6 ways, for example, as 289272064 + 1731059236 = 17008^2 + 41606^2 .

It is not an unprimeable number, because it can be changed into a prime (2020331309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 775751 + ... + 778350.

It is an arithmetic number, because the mean of its divisors is an integer number (131148941).

Almost surely, 22020331300 is an apocalyptic number.

2020331300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020331300 is an abundant number, since it is smaller than the sum of its proper divisors (2701030576).

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

2020331300 is a wasteful number, since it uses less digits than its factorization.

2020331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554128 (or 1554121 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2020331300 is about 44948.0956215055. The cubic root of 2020331300 is about 1264.1759697660.

Adding to 2020331300 its reverse (31330202), we get a palindrome (2051661502).

The spelling of 2020331300 in words is "two billion, twenty million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1554101 3108202 6216404 7770505 15541010 20203313 31082020 38852525 40406626 77705050 80813252 101016565 155410100 202033130 404066260 505082825 1010165650 2020331300