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2010000300 = 2235271187013
BaseRepresentation
bin111011111001110…
…0010101110101100
312012002011121001120
41313303202232230
513104030002200
6531241140540
7100544502120
oct16763425654
95162147046
102010000300
11941657a80
1248118a750
132605690b9
14150d3d580
15bb6da9a0
hex77ce2bac

2010000300 has 144 divisors (see below), whose sum is σ = 7250702592. Its totient is φ = 417657600.

The previous prime is 2010000271. The next prime is 2010000313. The reversal of 2010000300 is 30000102.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 47 ways as a sum of consecutive naturals, for example, 20407 + ... + 66606.

Almost surely, 22010000300 is an apocalyptic number.

2010000300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010000300 is an abundant number, since it is smaller than the sum of its proper divisors (5240702292).

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

2010000300 is a wasteful number, since it uses less digits than its factorization.

2010000300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87048 (or 87041 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 2010000300 is about 44833.0268886677. The cubic root of 2010000300 is about 1262.0174910069.

Adding to 2010000300 its reverse (30000102), we get a palindrome (2040000402).

The spelling of 2010000300 in words is "two billion, ten million, three hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 25 28 30 33 35 42 44 50 55 60 66 70 75 77 84 100 105 110 132 140 150 154 165 175 210 220 231 275 300 308 330 350 385 420 462 525 550 660 700 770 825 924 1050 1100 1155 1540 1650 1925 2100 2310 3300 3850 4620 5775 7700 11550 23100 87013 174026 261039 348052 435065 522078 609091 870130 957143 1044156 1218182 1305195 1740260 1827273 1914286 2175325 2436364 2610390 2871429 3045455 3654546 3828572 4350650 4785715 5220780 5742858 6090910 6525975 6700001 7309092 8701300 9136365 9571430 11485716 12181820 13051950 13400002 14357145 15227275 18272730 19142860 20100003 23928575 26103900 26800004 28714290 30454550 33500005 36545460 40200006 45681825 47857150 57428580 60909100 67000010 71785725 80400012 91363650 95714300 100500015 134000020 143571450 167500025 182727300 201000030 287142900 335000050 402000060 502500075 670000100 1005000150 2010000300