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20210220210200 = 23521019901101051
BaseRepresentation
bin1001001100001100011101…
…11111110001100000011000
32122120002002222212122212212
410212012032333301200120
510122111012333211300
6110552240314454252
74154066045231036
oct446061677614030
978502088778785
1020210220210200
11649211947a449
122324a61a34388
13b37a7ab02667
144dc273825556
15250aaa6b5935
hex12618eff1818

20210220210200 has 96 divisors (see below), whose sum is σ = 47459259756720. Its totient is φ = 8003160000000.

The previous prime is 20210220210151. The next prime is 20210220210223. The reversal of 20210220210200 is 201202201202.

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, 199949675 + ... + 200050725.

Almost surely, 220210220210200 is an apocalyptic number.

20210220210200 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 20210220210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23729629878360).

20210220210200 is an abundant number, since it is smaller than the sum of its proper divisors (27249039546520).

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

20210220210200 is a wasteful number, since it uses less digits than its factorization.

20210220210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111069 (or 111060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20210220210200 its reverse (201202201202), we get a palindrome (20411422411402).

It can be divided in two parts, 202102 and 20210200, that multiplied together give a square (4084521840400 = 20210202).

The spelling of 20210220210200 in words is "twenty trillion, two hundred ten billion, two hundred twenty million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 9901 10100 19802 20200 39604 49505 79208 99010 101051 198020 202102 247525 396040 404204 495050 505255 808408 990100 1000001 1010510 1980200 2000002 2021020 2526275 4000004 4042040 5000005 5052550 8000008 10000010 10105100 10206151 20000020 20210200 20412302 25000025 40000040 40824604 50000050 51030755 81649208 100000100 102061510 200000200 204123020 255153775 408246040 510307550 1000505951 1020615100 2001011902 2041230200 4002023804 5002529755 8004047608 10005059510 20010119020 25012648775 40020238040 50025297550 100050595100 101051101051 200101190200 202102202102 404204404204 505255505255 808408808408 1010511010510 2021022021020 2526277526275 4042044042040 5052555052550 10105110105100 20210220210200