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2001000200 = 2352191094831
BaseRepresentation
bin111011101000100…
…1101011100001000
312011110020100020112
41313101031130020
513044224001300
6530320213452
7100405135553
oct16721153410
95143210215
102001000200
11937570081
1247a16a288
1325b7376b4
1414da7969a
15baa0de35
hex7744d708

2001000200 has 96 divisors (see below), whose sum is σ = 4943136000. Its totient is φ = 751161600.

The previous prime is 2001000151. The next prime is 2001000223. The reversal of 2001000200 is 20001002.

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, 411785 + ... + 416615.

It is an arithmetic number, because the mean of its divisors is an integer number (51491000).

Almost surely, 22001000200 is an apocalyptic number.

2001000200 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 2001000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471568000).

2001000200 is an abundant number, since it is smaller than the sum of its proper divisors (2942135800).

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

2001000200 is a wasteful number, since it uses less digits than its factorization.

2001000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4966 counting only the distinct ones).

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

The square root of 2001000200 is about 44732.5407281992. The cubic root of 2001000200 is about 1260.1310437318.

Adding to 2001000200 its reverse (20001002), we get a palindrome (2021001202).

The spelling of 2001000200 in words is "two billion, one million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 109 152 190 200 218 380 436 475 545 760 872 950 1090 1900 2071 2180 2725 3800 4142 4360 4831 5450 8284 9662 10355 10900 16568 19324 20710 21800 24155 38648 41420 48310 51775 82840 91789 96620 103550 120775 183578 193240 207100 241550 367156 414200 458945 483100 526579 734312 917890 966200 1053158 1835780 2106316 2294725 2632895 3671560 4212632 4589450 5265790 9178900 10005001 10531580 13164475 18357800 20010002 21063160 26328950 40020004 50025005 52657900 80040008 100050010 105315800 200100020 250125025 400200040 500250050 1000500100 2001000200