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202012012000 = 255350503003
BaseRepresentation
bin1011110000100011011…
…0101010110111100000
3201022102120020111002101
42330020312222313200
511302210033341000
6232445242300144
720411021525131
oct2741066526740
9638376214071
10202012012000
1178744572637
12331994b7654
1316085110b16
149ac53c5c88
1553c4e0ae6a
hex2f08daade0

202012012000 has 48 divisors (see below), whose sum is σ = 496343523312. Its totient is φ = 80804803200.

The previous prime is 202012011979. The next prime is 202012012049. The reversal of 202012012000 is 210210202.

202012012000 is digitally balanced in base 2, 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 (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25247502 + ... + 25255501.

It is an arithmetic number, because the mean of its divisors is an integer number (10340490069).

Almost surely, 2202012012000 is an apocalyptic number.

202012012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202012012000 is an abundant number, since it is smaller than the sum of its proper divisors (294331511312).

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

202012012000 is an equidigital number, since it uses as much as digits as its factorization.

202012012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50503028 (or 50503010 counting only the distinct ones).

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

Adding to 202012012000 its reverse (210210202), we get a palindrome (202222222202).

The spelling of 202012012000 in words is "two hundred two billion, twelve million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 50503003 101006006 202012012 252515015 404024024 505030030 808048048 1010060060 1262575075 1616096096 2020120120 2525150150 4040240240 5050300300 6312875375 8080480480 10100600600 12625750750 20201201200 25251501500 40402402400 50503003000 101006006000 202012012000