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203434121220 = 2235111019973061
BaseRepresentation
bin1011110101110110011…
…1100101100000000100
3201110002200012010012020
42331131213211200010
511313113113334340
6233242323123140
720461200333141
oct2753547454004
9643080163166
10203434121220
1179304292310
12335158134b0
1316250930a75
149bbc2113c8
155459bbb9d0
hex2f5d9e5804

203434121220 has 192 divisors, whose sum is σ = 628385893632. Its totient is φ = 48764160000.

The previous prime is 203434121207. The next prime is 203434121243. The reversal of 203434121220 is 22121434302.

It is a happy number.

203434121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 66458490 + ... + 66461550.

It is an arithmetic number, because the mean of its divisors is an integer number (3272843196).

Almost surely, 2203434121220 is an apocalyptic number.

203434121220 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 203434121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314192946816).

203434121220 is an abundant number, since it is smaller than the sum of its proper divisors (424951772412).

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

203434121220 is a wasteful number, since it uses less digits than its factorization.

203434121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 203434121220 its reverse (22121434302), we get a palindrome (225555555522).

The spelling of 203434121220 in words is "two hundred three billion, four hundred thirty-four million, one hundred twenty-one thousand, two hundred twenty".