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2122000021 is a prime number
BaseRepresentation
bin111111001111011…
…0010011010010101
312110212220202210101
41332132302122111
513321213000041
6550321454101
7103404462661
oct17636623225
95425822711
102122000021
119998a5029
124b27a1331
1327a82171b
14161b758a1
15c6460b31
hex7e7b2695

2122000021 has 2 divisors, whose sum is σ = 2122000022. Its totient is φ = 2122000020.

The previous prime is 2122000019. The next prime is 2122000031. The reversal of 2122000021 is 1200002212.

It is an a-pointer prime, because the next prime (2122000031) can be obtained adding 2122000021 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1873937521 + 248062500 = 43289^2 + 15750^2 .

It is a cyclic number.

It is not a de Polignac number, because 2122000021 - 21 = 2122000019 is a prime.

Together with 2122000019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 2121999971 and 2122000007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122000031) 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, 1061000010 + 1061000011.

It is an arithmetic number, because the mean of its divisors is an integer number (1061000011).

Almost surely, 22122000021 is an apocalyptic number.

It is an amenable number.

2122000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122000021 is an equidigital number, since it uses as much as digits as its factorization.

2122000021 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 10.

The square root of 2122000021 is about 46065.1714530620. The cubic root of 2122000021 is about 1285.0355072022.

Adding to 2122000021 its reverse (1200002212), we get a palindrome (3322002233).

The spelling of 2122000021 in words is "two billion, one hundred twenty-two million, twenty-one", and thus it is an aban number.