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220003110012 = 22373105150857
BaseRepresentation
bin1100110011100100110…
…1010000110001111100
3210000212101122221212210
43030321031100301330
512101031244010022
6245022410100420
721615611403000
oct3147115206174
9700771587783
10220003110012
1185337024884
123677a71a710
131799154554a
14a910976700
155ac9606a0c
hex3339350c7c

220003110012 has 96 divisors (see below), whose sum is σ = 599229299200. Its totient is φ = 62796988800.

The previous prime is 220003109999. The next prime is 220003110013. The reversal of 220003110012 is 210011300022.

220003110012 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 self number, because there is not a number n which added to its sum of digits gives 220003110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220003110013) 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 31 ways as a sum of consecutive naturals, for example, 4300488 + ... + 4351344.

Almost surely, 2220003110012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220003110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299614649600).

220003110012 is an abundant number, since it is smaller than the sum of its proper divisors (379226189188).

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

220003110012 is a wasteful number, since it uses less digits than its factorization.

220003110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51936 (or 51920 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 220003110012 its reverse (210011300022), we get a palindrome (430014410034).

The spelling of 220003110012 in words is "two hundred twenty billion, three million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1051 1372 2058 2102 3153 4116 4204 6306 7357 12612 14714 22071 29428 44142 50857 51499 88284 101714 102998 152571 154497 203428 205996 305142 308994 355999 360493 610284 617988 711998 720986 1067997 1081479 1423996 1441972 2135994 2162958 2491993 4271988 4325916 4983986 7475979 9967972 14951958 17443951 29903916 34887902 52331853 53450707 69775804 104663706 106901414 160352121 209327412 213802828 320704242 374154949 641408484 748309898 1122464847 1496619796 2244929694 2619084643 4489859388 5238169286 7857253929 10476338572 15714507858 18333592501 31429015716 36667185002 55000777503 73334370004 110001555006 220003110012