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2000100200 = 2352711171279
BaseRepresentation
bin111011100110111…
…0001101101101000
312011101112121200012
41313031301231220
513044011201300
6530245031052
7100364366630
oct16715615550
95141477605
102000100200
1193700597a
124799b5488
1325b4b0b57
1414d8c36c0
15ba8d2435
hex77371b68

2000100200 has 96 divisors (see below), whose sum is σ = 5323468800. Its totient is φ = 684599040.

The previous prime is 2000100199. The next prime is 2000100299. The reversal of 2000100200 is 20010002.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563161 + ... + 1564439.

It is an arithmetic number, because the mean of its divisors is an integer number (55452800).

Almost surely, 22000100200 is an apocalyptic number.

2000100200 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 2000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661734400).

2000100200 is an abundant number, since it is smaller than the sum of its proper divisors (3323368600).

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

2000100200 is a wasteful number, since it uses less digits than its factorization.

2000100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 2000100200 is about 44722.4798060215. The cubic root of 2000100200 is about 1259.9420902250.

Adding to 2000100200 its reverse (20010002), we get a palindrome (2020110202).

The spelling of 2000100200 in words is "two billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1117 1279 1400 2234 2558 4468 5116 5585 6395 7819 8936 8953 10232 11170 12790 15638 17906 22340 25580 27925 31276 31975 35812 39095 44680 44765 51160 55850 62552 63950 71624 78190 89530 111700 127900 156380 179060 195475 223400 223825 255800 312760 358120 390950 447650 781900 895300 1428643 1563800 1790600 2857286 5714572 7143215 10000501 11429144 14286430 20001002 28572860 35716075 40002004 50002505 57145720 71432150 80004008 100005010 142864300 200010020 250012525 285728600 400020040 500025050 1000050100 2000100200