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2011330300 = 225273119239
BaseRepresentation
bin111011111100010…
…0111011011111100
312012011200011110211
41313320213123330
513104400032200
6531325442204
7100562011510
oct16770473374
95164604424
102011330300
11942386251
12481710364
13260913595
141511a8140
15bb89eaba
hex77e276fc

2011330300 has 72 divisors (see below), whose sum is σ = 5004679680. Its totient is φ = 687307200.

The previous prime is 2011330271. The next prime is 2011330301. The reversal of 2011330300 is 30331102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011330301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213081 + ... + 222319.

It is an arithmetic number, because the mean of its divisors is an integer number (69509440).

Almost surely, 22011330300 is an apocalyptic number.

2011330300 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 2011330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502339840).

2011330300 is an abundant number, since it is smaller than the sum of its proper divisors (2993349380).

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

2011330300 is a wasteful number, since it uses less digits than its factorization.

2011330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9571 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 2011330300 is about 44847.8572509323. The cubic root of 2011330300 is about 1262.2957850262.

Adding to 2011330300 its reverse (30331102), we get a palindrome (2041661402).

The spelling of 2011330300 in words is "two billion, eleven million, three hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 311 350 622 700 1244 1555 2177 3110 4354 6220 7775 8708 9239 10885 15550 18478 21770 31100 36956 43540 46195 54425 64673 92390 108850 129346 184780 217700 230975 258692 323365 461950 646730 923900 1293460 1616825 2873329 3233650 5746658 6467300 11493316 14366645 20113303 28733290 40226606 57466580 71833225 80453212 100566515 143666450 201133030 287332900 402266060 502832575 1005665150 2011330300