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2001210200 = 2352113072963
BaseRepresentation
bin111011101001000…
…0000101101011000
312011110122000022022
41313102000231120
513044302211300
6530324514012
7100410002033
oct16722005530
95143560268
102001210200
119376a3930
1247a24b908
1325b7ac162
1414dad201a
15baa51285
hex77480b58

2001210200 has 96 divisors (see below), whose sum is σ = 5094048960. Its totient is φ = 725097600.

The previous prime is 2001210187. The next prime is 2001210223. The reversal of 2001210200 is 20121002.

2001210200 is digitally balanced in base 6, 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 (8).

It is a congruent number.

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, 673919 + ... + 676881.

It is an arithmetic number, because the mean of its divisors is an integer number (53063010).

Almost surely, 22001210200 is an apocalyptic number.

2001210200 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 2001210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547024480).

2001210200 is an abundant number, since it is smaller than the sum of its proper divisors (3092838760).

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

2001210200 is a wasteful number, since it uses less digits than its factorization.

2001210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2001210200 is about 44734.8879511283. The cubic root of 2001210200 is about 1260.1751247306.

Adding to 2001210200 its reverse (20121002), we get a palindrome (2021331202).

The spelling of 2001210200 in words is "two billion, one million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 307 440 550 614 1100 1228 1535 2200 2456 2963 3070 3377 5926 6140 6754 7675 11852 12280 13508 14815 15350 16885 23704 27016 29630 30700 32593 33770 59260 61400 65186 67540 74075 84425 118520 130372 135080 148150 162965 168850 260744 296300 325930 337700 592600 651860 675400 814825 909641 1303720 1629650 1819282 3259300 3638564 4548205 6518600 7277128 9096410 10006051 18192820 20012102 22741025 36385640 40024204 45482050 50030255 80048408 90964100 100060510 181928200 200121020 250151275 400242040 500302550 1000605100 2001210200