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220231200289 is a prime number
BaseRepresentation
bin1100110100011011001…
…1010110111000100001
3210001110021212010220211
43031012303112320201
512102013141402124
6245101154534121
721624351213142
oct3150663267041
9701407763824
10220231200289
1185443853441
1236822b97341
13179c98864c9
14a932d8bac9
155ade65de94
hex3346cd6e21

220231200289 has 2 divisors, whose sum is σ = 220231200290. Its totient is φ = 220231200288.

The previous prime is 220231200239. The next prime is 220231200323. The reversal of 220231200289 is 982002132022.

220231200289 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., 170562392064 + 49668808225 = 412992^2 + 222865^2 .

It is a cyclic number.

It is not a de Polignac number, because 220231200289 - 215 = 220231167521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220231200289.

It is not a weakly prime, because it can be changed into another prime (220231200239) 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 as a sum of consecutive naturals, namely, 110115600144 + 110115600145.

It is an arithmetic number, because the mean of its divisors is an integer number (110115600145).

Almost surely, 2220231200289 is an apocalyptic number.

It is an amenable number.

220231200289 is a deficient number, since it is larger than the sum of its proper divisors (1).

220231200289 is an equidigital number, since it uses as much as digits as its factorization.

220231200289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 220231200289 in words is "two hundred twenty billion, two hundred thirty-one million, two hundred thousand, two hundred eighty-nine".