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10010330200 = 23521329132763
BaseRepresentation
bin10010101001010100…
…11000010001011000
3221211122012110111101
421110222120101120
5131000121031300
64333152041144
7503031255103
oct112452302130
927748173441
1010010330200
114277630272
121b345331b4
13c36b96410
146ad69173a
153d8c4db6a
hex254a98458

10010330200 has 96 divisors (see below), whose sum is σ = 25928809200. Its totient is φ = 3568642560.

The previous prime is 10010330191. The next prime is 10010330251. The reversal of 10010330200 is 203301001.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9019 + ... + 141781.

Almost surely, 210010330200 is an apocalyptic number.

10010330200 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 10010330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964404600).

10010330200 is an abundant number, since it is smaller than the sum of its proper divisors (15918479000).

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

10010330200 is a wasteful number, since it uses less digits than its factorization.

10010330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132821 (or 132812 counting only the distinct ones).

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

Adding to 10010330200 its reverse (203301001), we get a palindrome (10213631201).

The spelling of 10010330200 in words is "ten billion, ten million, three hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 132763 265526 531052 663815 1062104 1327630 1725919 2655260 3319075 3451838 3850127 5310520 6638150 6903676 7700254 8629595 13276300 13807352 15400508 17259190 19250635 26552600 30801016 34518380 38501270 43147975 50051651 69036760 77002540 86295950 96253175 100103302 154005080 172591900 192506350 200206604 250258255 345183800 385012700 400413208 500516510 770025400 1001033020 1251291275 2002066040 2502582550 5005165100 10010330200