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203211221220 = 223257316719709
BaseRepresentation
bin1011110101000001010…
…1010010100011100100
3201102112010202121212200
42331100111102203210
511312134033034340
6233204241414500
720452522611000
oct2752025224344
9642463677780
10203211221220
11791aa489237
123347303a430
13162166b9387
149b9a78b700
15544533c330
hex2f505528e4

203211221220 has 288 divisors, whose sum is σ = 723183552000. Its totient is φ = 46167803136.

The previous prime is 203211221153. The next prime is 203211221251. The reversal of 203211221220 is 22122112302.

203211221220 is a `hidden beast` number, since 2 + 0 + 321 + 122 + 1 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203211221193 and 203211221202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10300726 + ... + 10320434.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054000).

Almost surely, 2203211221220 is an apocalyptic number.

203211221220 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 203211221220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361591776000).

203211221220 is an abundant number, since it is smaller than the sum of its proper divisors (519972330780).

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

203211221220 is a wasteful number, since it uses less digits than its factorization.

203211221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19912 (or 19893 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 203211221220 its reverse (22122112302), we get a palindrome (225333333522).

The spelling of 203211221220 in words is "two hundred three billion, two hundred eleven million, two hundred twenty-one thousand, two hundred twenty".