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2210000101 is a prime number
BaseRepresentation
bin1000001110111001…
…1110110011100101
312201000111122012121
42003232132303211
514011230000401
61003143545541
7105523455661
oct20356366345
95630448177
102210000101
11a3453a871
1251815b2b1
13292b2328a
1416d7218a1
15ce044ca1
hex83b9ece5

2210000101 has 2 divisors, whose sum is σ = 2210000102. Its totient is φ = 2210000100.

The previous prime is 2210000087. The next prime is 2210000161. The reversal of 2210000101 is 1010000122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2178088900 + 31911201 = 46670^2 + 5649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210000101 - 219 = 2209475813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2210000161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105000050 + 1105000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1105000051).

Almost surely, 22210000101 is an apocalyptic number.

It is an amenable number.

2210000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210000101 is an equidigital number, since it uses as much as digits as its factorization.

2210000101 is an evil number, because the sum of its binary digits is even.

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

The square root of 2210000101 is about 47010.6381683976. The cubic root of 2210000101 is about 1302.5590815655.

Adding to 2210000101 its reverse (1010000122), we get a palindrome (3220000223).

The spelling of 2210000101 in words is "two billion, two hundred ten million, one hundred one", and thus it is an aban number.