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220033242217 is a prime number
BaseRepresentation
bin1100110011101100000…
…0001101010001101001
3210000221111100211111101
43030323000031101221
512101112002222332
6245025404001401
721616425461665
oct3147300152151
9700844324441
10220033242217
1185352035628
1236788830261
1317997865759
14a91497b8a5
155acc0a9ae7
hex333b00d469

220033242217 has 2 divisors, whose sum is σ = 220033242218. Its totient is φ = 220033242216.

The previous prime is 220033242109. The next prime is 220033242223. The reversal of 220033242217 is 712242330022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 195678830736 + 24354411481 = 442356^2 + 156059^2 .

It is a cyclic number.

It is not a de Polignac number, because 220033242217 - 235 = 185673503849 is a prime.

It is not a weakly prime, because it can be changed into another prime (220033242287) by changing a digit.

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 as a sum of consecutive naturals, namely, 110016621108 + 110016621109.

It is an arithmetic number, because the mean of its divisors is an integer number (110016621109).

Almost surely, 2220033242217 is an apocalyptic number.

It is an amenable number.

220033242217 is a deficient number, since it is larger than the sum of its proper divisors (1).

220033242217 is an equidigital number, since it uses as much as digits as its factorization.

220033242217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 28.

Adding to 220033242217 its reverse (712242330022), we get a palindrome (932275572239).

The spelling of 220033242217 in words is "two hundred twenty billion, thirty-three million, two hundred forty-two thousand, two hundred seventeen".