Search a number
-
+
21112000097 is a prime number
BaseRepresentation
bin10011101010010111…
…111000111001100001
32000111022221201121112
4103222113320321201
5321214133000342
613410531233105
71345114016456
oct235227707141
960438851545
1021112000097
118a541a0171
124112448795
131cb5b9a666
141043c6982d
158386c2682
hex4ea5f8e61

21112000097 has 2 divisors, whose sum is σ = 21112000098. Its totient is φ = 21112000096.

The previous prime is 21111999947. The next prime is 21112000109. The reversal of 21112000097 is 79000021112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12902915281 + 8209084816 = 113591^2 + 90604^2 .

It is a cyclic number.

It is not a de Polignac number, because 21112000097 - 224 = 21095222881 is a prime.

It is not a weakly prime, because it can be changed into another prime (21112000297) 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, 10556000048 + 10556000049.

It is an arithmetic number, because the mean of its divisors is an integer number (10556000049).

Almost surely, 221112000097 is an apocalyptic number.

It is an amenable number.

21112000097 is a deficient number, since it is larger than the sum of its proper divisors (1).

21112000097 is an equidigital number, since it uses as much as digits as its factorization.

21112000097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 21112000097 in words is "twenty-one billion, one hundred twelve million, ninety-seven", and thus it is an aban number.