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2011030300 = 22521719232707
BaseRepresentation
bin111011111011101…
…1110001100011100
312012011002220221201
41313313132030130
513104310432200
6531315205244
7100556322046
oct16767361434
95164086851
102011030300
119421a0914
124815a6824
13260839b76
1415112aa96
15bb840c6a
hex77dde31c

2011030300 has 144 divisors (see below), whose sum is σ = 5077175040. Its totient is φ = 685808640.

The previous prime is 2011030297. The next prime is 2011030309. The reversal of 2011030300 is 30301102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011030309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741547 + ... + 744253.

It is an arithmetic number, because the mean of its divisors is an integer number (35258160).

Almost surely, 22011030300 is an apocalyptic number.

2011030300 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 2011030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538587520).

2011030300 is an abundant number, since it is smaller than the sum of its proper divisors (3066144740).

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

2011030300 is a wasteful number, since it uses less digits than its factorization.

2011030300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 2011030300 is about 44844.5124848069. The cubic root of 2011030300 is about 1262.2330226569.

Adding to 2011030300 its reverse (30301102), we get a palindrome (2041331402).

The spelling of 2011030300 in words is "two billion, eleven million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 23 25 34 38 46 50 68 76 85 92 95 100 115 170 190 230 323 340 380 391 425 437 460 475 575 646 782 850 874 950 1150 1292 1564 1615 1700 1748 1900 1955 2185 2300 2707 3230 3910 4370 5414 6460 7429 7820 8075 8740 9775 10828 10925 13535 14858 16150 19550 21850 27070 29716 32300 37145 39100 43700 46019 51433 54140 62261 67675 74290 92038 102866 124522 135350 148580 184076 185725 205732 230095 249044 257165 270700 311305 371450 460190 514330 622610 742900 874361 920380 1028660 1058437 1150475 1182959 1245220 1285825 1556525 1748722 2116874 2300950 2365918 2571650 3113050 3497444 4233748 4371805 4601900 4731836 5143300 5292185 5914795 6226100 8743610 10584370 11829590 17487220 20110303 21168740 21859025 23659180 26460925 29573975 40220606 43718050 52921850 59147950 80441212 87436100 100551515 105843700 118295900 201103030 402206060 502757575 1005515150 2011030300