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221108801 is a prime number
BaseRepresentation
bin11010010110111…
…01101001000001
3120102001111020212
431023131221001
5423100440201
633535043505
75323252034
oct1513355101
9512044225
10221108801
111038a0351
1262070595
1336a68314
142151901b
1514628abb
hexd2dda41

221108801 has 2 divisors, whose sum is σ = 221108802. Its totient is φ = 221108800.

The previous prime is 221108791. The next prime is 221108803. The reversal of 221108801 is 108801122.

It is a happy number.

221108801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199939600 + 21169201 = 14140^2 + 4601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221108801 is a prime.

Together with 221108803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (221108803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110554400 + 110554401.

It is an arithmetic number, because the mean of its divisors is an integer number (110554401).

Almost surely, 2221108801 is an apocalyptic number.

It is an amenable number.

221108801 is a deficient number, since it is larger than the sum of its proper divisors (1).

221108801 is an equidigital number, since it uses as much as digits as its factorization.

221108801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 221108801 is about 14869.7276706737. The cubic root of 221108801 is about 604.6935597204.

Adding to 221108801 its reverse (108801122), we get a palindrome (329909923).

The spelling of 221108801 in words is "two hundred twenty-one million, one hundred eight thousand, eight hundred one".