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202112020020 = 22355363557239
BaseRepresentation
bin1011110000111011010…
…0001010111000110100
3201022200112102102022010
42330032310022320310
511302411134120040
6232503214004220
720413344552531
oct2741664127064
9638615372263
10202112020020
1178795a6a099
1233206aa6670
131609ca58171
149ad47b9d88
1553cdab2e80
hex2f0ed0ae34

202112020020 has 48 divisors (see below), whose sum is σ = 576591281280. Its totient is φ = 52879622016.

The previous prime is 202112019953. The next prime is 202112020051. The reversal of 202112020020 is 20020211202.

202112020020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 202112019978 and 202112020005.

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 15 ways as a sum of consecutive naturals, for example, 31775440 + ... + 31781799.

It is an arithmetic number, because the mean of its divisors is an integer number (12012318360).

Almost surely, 2202112020020 is an apocalyptic number.

202112020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202112020020 is an abundant number, since it is smaller than the sum of its proper divisors (374479261260).

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

202112020020 is a wasteful number, since it uses less digits than its factorization.

202112020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63557304 (or 63557302 counting only the distinct ones).

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

Adding to 202112020020 its reverse (20020211202), we get a palindrome (222132231222).

The spelling of 202112020020 in words is "two hundred two billion, one hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 63557239 127114478 190671717 254228956 317786195 381343434 635572390 762686868 953358585 1271144780 1906717170 3368533667 3813434340 6737067334 10105601001 13474134668 16842668335 20211202002 33685336670 40422404004 50528005005 67370673340 101056010010 202112020020