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2220000211001 is a prime number
BaseRepresentation
bin100000010011100010010…
…100101111000000111001
321212020012122001112011002
4200103202110233000321
5242333030023223001
64415504245014345
7316250450305106
oct40234224570071
97766178045132
102220000211001
11786551275591
122ba3016b43b5
13131464303211
147963ccadaad
153cb3221046b
hex204e252f039

2220000211001 has 2 divisors, whose sum is σ = 2220000211002. Its totient is φ = 2220000211000.

The previous prime is 2220000210991. The next prime is 2220000211007. The reversal of 2220000211001 is 1001120000222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1401735234601 + 818264976400 = 1183949^2 + 904580^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220000211001 - 214 = 2220000194617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220000211007) 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, 1110000105500 + 1110000105501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110000105501).

Almost surely, 22220000211001 is an apocalyptic number.

It is an amenable number.

2220000211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220000211001 is an equidigital number, since it uses as much as digits as its factorization.

2220000211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2220000211001 its reverse (1001120000222), we get a palindrome (3221120211223).

The spelling of 2220000211001 in words is "two trillion, two hundred twenty billion, two hundred eleven thousand, one".