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220021210020 = 22359013406859
BaseRepresentation
bin1100110011101001001…
…0010011101110100100
3210000220122201112102110
43030322102103232210
512101100412210040
6245024254041020
721616221266463
oct3147222235644
9700818645373
10220021210020
1185346267667
12367847a9170
1317995211c01
14a9131289da
155acaece980
hex333a493ba4

220021210020 has 48 divisors (see below), whose sum is σ = 616129254720. Its totient is φ = 58665668736.

The previous prime is 220021210007. The next prime is 220021210021. The reversal of 220021210020 is 20012120022.

220021210020 is digitally balanced in base 2 and base 3, because in such bases 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 220021209978 and 220021210005.

It is not an unprimeable number, because it can be changed into a prime (220021210021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 337351 + ... + 744209.

It is an arithmetic number, because the mean of its divisors is an integer number (12836026140).

Almost surely, 2220021210020 is an apocalyptic number.

220021210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220021210020 is an abundant number, since it is smaller than the sum of its proper divisors (396108044700).

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

220021210020 is a wasteful number, since it uses less digits than its factorization.

220021210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415884 (or 415882 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220021210020 its reverse (20012120022), we get a palindrome (240033330042).

The spelling of 220021210020 in words is "two hundred twenty billion, twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 9013 18026 27039 36052 45065 54078 90130 108156 135195 180260 270390 406859 540780 813718 1220577 1627436 2034295 2441154 4068590 4882308 6102885 8137180 12205770 24411540 3667020167 7334040334 11001060501 14668080668 18335100835 22002121002 36670201670 44004242004 55005302505 73340403340 110010605010 220021210020