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200212010210000 = 245462213321817
BaseRepresentation
bin101101100001011101111101…
…101111111001001011010000
3222020220002012020020121220102
4231201131331233321023100
5202220233144103210000
61545452043332031532
760112561153341155
oct5541357557711320
9866802166217812
10200212010210000
115888048927a038
121a5565191625a8
138793bb08a8b99
143762454c2022c
151822e91aee3d5
hexb6177dbf92d0

200212010210000 has 100 divisors (see below), whose sum is σ = 484742595693972. Its totient is φ = 80083267968000.

The previous prime is 200212010209901. The next prime is 200212010210063. The reversal of 200212010210000 is 12010212002.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 155325172554304 + 44886837655696 = 12462952^2 + 6699764^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 621969092 + ... + 622290908.

Almost surely, 2200212010210000 is an apocalyptic number.

200212010210000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212010210000 is an abundant number, since it is smaller than the sum of its proper divisors (284530585483972).

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

200212010210000 is an equidigital number, since it uses as much as digits as its factorization.

200212010210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384058 (or 384037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 200212010210000 its reverse (12010212002), we get a palindrome (200224020422002).

The spelling of 200212010210000 in words is "two hundred trillion, two hundred twelve billion, ten million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 62213 124426 248852 311065 321817 497704 622130 643634 995408 1244260 1287268 1555325 1609085 2488520 2574536 3110650 3218170 4977040 5149072 6221300 6436340 7776625 8045425 12442600 12872680 15553250 16090850 24885200 25745360 31106500 32181700 38883125 40227125 62213000 64363400 77766250 80454250 124426000 128726800 155532500 160908500 201135625 311065000 321817000 402271250 622130000 643634000 804542500 1609085000 3218170000 20021201021 40042402042 80084804084 100106005105 160169608168 200212010210 320339216336 400424020420 500530025525 800848040840 1001060051050 1601696081680 2002120102100 2502650127625 4004240204200 5005300255250 8008480408400 10010600510500 12513250638125 20021201021000 25026501276250 40042402042000 50053002552500 100106005105000 200212010210000