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221120201120 = 25571336741381
BaseRepresentation
bin1100110111101111001…
…0101000000110100000
3210010202020200001210112
43031323302220012200
512110323232413440
6245325313150452
721655364461250
oct3157362500640
9703666601715
10221120201120
118585a652975
1236a3085b428
1317b0bacb5c0
14a9b9083960
155b42716965
hex337bca81a0

221120201120 has 192 divisors, whose sum is σ = 644716993536. Its totient is φ = 69788528640.

The previous prime is 221120201119. The next prime is 221120201131. The reversal of 221120201120 is 21102021122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 221120201095 and 221120201104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5322830 + ... + 5364210.

It is an arithmetic number, because the mean of its divisors is an integer number (3357901008).

Almost surely, 2221120201120 is an apocalyptic number.

221120201120 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 221120201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322358496768).

221120201120 is an abundant number, since it is smaller than the sum of its proper divisors (423596792416).

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

221120201120 is a wasteful number, since it uses less digits than its factorization.

221120201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41783 (or 41775 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221120201120 its reverse (21102021122), we get a palindrome (242222222242).

The spelling of 221120201120 in words is "two hundred twenty-one billion, one hundred twenty million, two hundred one thousand, one hundred twenty".