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10003310200 = 23521326314629
BaseRepresentation
bin10010101000011111…
…00110011001111000
3221211010222210212101
421110033212121320
5130441321411300
64332341353144
7502614506452
oct112417463170
927733883771
1010003310200
114273676014
121b321087b4
13c355a9080
146ac7852d2
153d8313b6a
hex2543e6678

10003310200 has 96 divisors (see below), whose sum is σ = 25143703200. Its totient is φ = 3679234560.

The previous prime is 10003310159. The next prime is 10003310201. The reversal of 10003310200 is 201330001.

10003310200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10003310201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 676486 + ... + 691114.

It is an arithmetic number, because the mean of its divisors is an integer number (261913575).

Almost surely, 210003310200 is an apocalyptic number.

10003310200 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 10003310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571851600).

10003310200 is an abundant number, since it is smaller than the sum of its proper divisors (15140393000).

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

10003310200 is a wasteful number, since it uses less digits than its factorization.

10003310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14921 (or 14912 counting only the distinct ones).

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

Adding to 10003310200 its reverse (201330001), we get a palindrome (10204640201).

The spelling of 10003310200 in words is "ten billion, three million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 263 325 520 526 650 1052 1300 1315 2104 2600 2630 3419 5260 6575 6838 10520 13150 13676 14629 17095 26300 27352 29258 34190 52600 58516 68380 73145 85475 117032 136760 146290 170950 190177 292580 341900 365725 380354 585160 683800 731450 760708 950885 1462900 1521416 1901770 2925800 3803540 3847427 4754425 7607080 7694854 9508850 15389708 19017700 19237135 30779416 38035400 38474270 50016551 76948540 96185675 100033102 153897080 192371350 200066204 250082755 384742700 400132408 500165510 769485400 1000331020 1250413775 2000662040 2500827550 5001655100 10003310200