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1030300200 = 2332521274507
BaseRepresentation
bin111101011010010…
…010001000101000
32122210200200011200
4331122102020220
54102224101300
6250122524200
734350256446
oct7532221050
92583620150
101030300200
11489639876
12249066660
131355b89b7
149ab97b96
15606b9200
hex3d692228

1030300200 has 144 divisors (see below), whose sum is σ = 3488110080. Its totient is φ = 272522880.

The previous prime is 1030300177. The next prime is 1030300237. The reversal of 1030300200 is 20030301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 226347 + ... + 230853.

Almost surely, 21030300200 is an apocalyptic number.

1030300200 is a gapful number since it is divisible by the number (10) 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 1030300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744055040).

1030300200 is an abundant number, since it is smaller than the sum of its proper divisors (2457809880).

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

1030300200 is a wasteful number, since it uses less digits than its factorization.

1030300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 1030300200 is about 32098.2896740621. The cubic root of 1030300200 is about 1009.9997385877. Note that the first 3 decimals are identical.

Adding to 1030300200 its reverse (20030301), we get a palindrome (1050330501).

The spelling of 1030300200 in words is "one billion, thirty million, three hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 127 150 180 200 225 254 300 360 381 450 508 600 635 762 900 1016 1143 1270 1524 1800 1905 2286 2540 3048 3175 3810 4507 4572 5080 5715 6350 7620 9014 9144 9525 11430 12700 13521 15240 18028 19050 22535 22860 25400 27042 28575 36056 38100 40563 45070 45720 54084 57150 67605 76200 81126 90140 108168 112675 114300 135210 162252 180280 202815 225350 228600 270420 324504 338025 405630 450700 540840 572389 676050 811260 901400 1014075 1144778 1352100 1622520 1717167 2028150 2289556 2704200 2861945 3434334 4056300 4579112 5151501 5723890 6868668 8112600 8585835 10303002 11447780 13737336 14309725 17171670 20606004 22895560 25757505 28619450 34343340 41212008 42929175 51515010 57238900 68686680 85858350 103030020 114477800 128787525 171716700 206060040 257575050 343433400 515150100 1030300200