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202012011200 = 2652130796601
BaseRepresentation
bin1011110000100011011…
…0101010101011000000
3201022102120020102222202
42330020312222223000
511302210033324300
6232445242252332
720411021522606
oct2741066525300
9638376212882
10202012011200
1178744571a7a
12331994b70a8
131608511064c
149ac53c5876
1553c4e0aad5
hex2f08daaac0

202012011200 has 84 divisors (see below), whose sum is σ = 497461272792. Its totient is φ = 80742144000.

The previous prime is 202012011167. The next prime is 202012011247. The reversal of 202012011200 is 2110210202.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2042900 + ... + 2139500.

Almost surely, 2202012011200 is an apocalyptic number.

202012011200 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 202012011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248730636396).

202012011200 is an abundant number, since it is smaller than the sum of its proper divisors (295449261592).

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

202012011200 is a wasteful number, since it uses less digits than its factorization.

202012011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97930 (or 97915 counting only the distinct ones).

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

Adding to 202012011200 its reverse (2110210202), we get a palindrome (204122221402).

The spelling of 202012011200 in words is "two hundred two billion, twelve million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1307 1600 2614 5228 6535 10456 13070 20912 26140 32675 41824 52280 65350 83648 96601 104560 130700 193202 209120 261400 386404 418240 483005 522800 772808 966010 1045600 1545616 1932020 2091200 2415025 3091232 3864040 4830050 6182464 7728080 9660100 15456160 19320200 30912320 38640400 77280800 126257507 154561600 252515014 505030028 631287535 1010060056 1262575070 2020120112 2525150140 3156437675 4040240224 5050300280 6312875350 8080480448 10100600560 12625750700 20201201120 25251501400 40402402240 50503002800 101006005600 202012011200