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20331303100 = 22522322733889
BaseRepresentation
bin10010111011110101…
…110001000010111100
31221110220221012122221
4102323311301002330
5313114303144400
613201242215124
71316554140103
oct227365610274
957426835587
1020331303100
118693543a39
123b34ab44a4
131bc0215884
14dac2c703a
157dedaec1a
hex4bbd710bc

20331303100 has 72 divisors (see below), whose sum is σ = 46069238880. Its totient is φ = 7773511680.

The previous prime is 20331303079. The next prime is 20331303281. The reversal of 20331303100 is 130313302.

It is a super-2 number, since 2×203313031002 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5225956 + ... + 5229844.

It is an arithmetic number, because the mean of its divisors is an integer number (639850540).

Almost surely, 220331303100 is an apocalyptic number.

20331303100 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 20331303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23034619440).

20331303100 is an abundant number, since it is smaller than the sum of its proper divisors (25737935780).

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

20331303100 is a wasteful number, since it uses less digits than its factorization.

20331303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 20331303100 its reverse (130313302), we get a palindrome (20461616402).

The spelling of 20331303100 in words is "twenty billion, three hundred thirty-one million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2273 2300 3889 4546 7778 9092 11365 15556 19445 22730 38890 45460 52279 56825 77780 89447 97225 104558 113650 178894 194450 209116 227300 261395 357788 388900 447235 522790 894470 1045580 1306975 1788940 2236175 2613950 4472350 5227900 8839697 8944700 17679394 35358788 44198485 88396970 176793940 203313031 220992425 406626062 441984850 813252124 883969700 1016565155 2033130310 4066260620 5082825775 10165651550 20331303100