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201021020000200 = 23521005105100001
BaseRepresentation
bin101101101101001111011010…
…011111010100111111001000
3222100202102101111220010112101
4231231033122133110333020
5202322012022110001300
61551311440503323144
760225201162161131
oct5555173237247710
9870672344803471
10201021020000200
1159062599201534
121a667278a504b4
13882227c352a5a
14378d67d9c8c88
151839040da3b6a
hexb6d3da7d4fc8

201021020000200 has 24 divisors (see below), whose sum is σ = 467373871500930. Its totient is φ = 80408408000000.

The previous prime is 201021020000189. The next prime is 201021020000201. The reversal of 201021020000200 is 2000020120102.

It can be written as a sum of positive squares in 3 ways, for example, as 192083467298724 + 8937552701476 = 13859418^2 + 2989574^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (201021020000201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 502552549801 + ... + 502552550200.

Almost surely, 2201021020000200 is an apocalyptic number.

201021020000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021020000200 is an abundant number, since it is smaller than the sum of its proper divisors (266352851500730).

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

201021020000200 is a wasteful number, since it uses less digits than its factorization.

201021020000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005105100017 (or 1005105100008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 201021020000200 its reverse (2000020120102), we get a palindrome (203021040120302).

The spelling of 201021020000200 in words is "two hundred one trillion, twenty-one billion, twenty million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1005105100001 2010210200002 4020420400004 5025525500005 8040840800008 10051051000010 20102102000020 25127627500025 40204204000040 50255255000050 100510510000100 201021020000200