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220000011001 is a prime number
BaseRepresentation
bin1100110011100100000…
…1011100001011111001
3210000212011211111211121
43030321001130023321
512101030000323001
6245022215425241
721615543144661
oct3147101341371
9700764744747
10220000011001
11853352a8511
1236779685221
13179909cbb04
14a9103ab1a1
155ac91e36a1
hex333905c2f9

220000011001 has 2 divisors, whose sum is σ = 220000011002. Its totient is φ = 220000011000.

The previous prime is 220000010963. The next prime is 220000011037. The reversal of 220000011001 is 100110000022.

220000011001 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., 201524677225 + 18475333776 = 448915^2 + 135924^2 .

It is a cyclic number.

It is not a de Polignac number, because 220000011001 - 229 = 219463140089 is a prime.

It is not a weakly prime, because it can be changed into another prime (220000011071) 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, 110000005500 + 110000005501.

It is an arithmetic number, because the mean of its divisors is an integer number (110000005501).

Almost surely, 2220000011001 is an apocalyptic number.

It is an amenable number.

220000011001 is a deficient number, since it is larger than the sum of its proper divisors (1).

220000011001 is an equidigital number, since it uses as much as digits as its factorization.

220000011001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 220000011001 its reverse (100110000022), we get a palindrome (320110011023).

The spelling of 220000011001 in words is "two hundred twenty billion, eleven thousand, one".