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220311301121 is a prime number
BaseRepresentation
bin1100110100101110010…
…0111010110000000001
3210001122212120200121022
43031023210322300001
512102144143113441
6245113135435225
721626343106232
oct3151344726001
9701585520538
10220311301121
1185484a9337a
1236845985b15
1317a10350752
14a93d87d089
155ae66d284b
hex334b93ac01

220311301121 has 2 divisors, whose sum is σ = 220311301122. Its totient is φ = 220311301120.

The previous prime is 220311301109. The next prime is 220311301181. The reversal of 220311301121 is 121103113022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 163790993521 + 56520307600 = 404711^2 + 237740^2 .

It is a cyclic number.

It is not a de Polignac number, because 220311301121 - 230 = 219237559297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220311301121.

It is not a weakly prime, because it can be changed into another prime (220311301181) 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, 110155650560 + 110155650561.

It is an arithmetic number, because the mean of its divisors is an integer number (110155650561).

Almost surely, 2220311301121 is an apocalyptic number.

It is an amenable number.

220311301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

220311301121 is an equidigital number, since it uses as much as digits as its factorization.

220311301121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 220311301121 its reverse (121103113022), we get a palindrome (341414414143).

The spelling of 220311301121 in words is "two hundred twenty billion, three hundred eleven million, three hundred one thousand, one hundred twenty-one".