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21122111009 is a prime number
BaseRepresentation
bin10011101010111110…
…011101011000100001
32000112000222102011202
4103222332131120201
5321224230023014
613411532050545
71345265660366
oct235276353041
960460872152
1021122111009
118a5997669a
124115903a55
131cb7cca84c
14104533c46d
1583951d3de
hex4eaf9d621

21122111009 has 2 divisors, whose sum is σ = 21122111010. Its totient is φ = 21122111008.

The previous prime is 21122110981. The next prime is 21122111047. The reversal of 21122111009 is 90011122112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20593111009 + 529000000 = 143503^2 + 23000^2 .

It is a cyclic number.

It is not a de Polignac number, because 21122111009 - 212 = 21122106913 is a prime.

It is a super-2 number, since 2×211221110092 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21122111089) 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, 10561055504 + 10561055505.

It is an arithmetic number, because the mean of its divisors is an integer number (10561055505).

Almost surely, 221122111009 is an apocalyptic number.

It is an amenable number.

21122111009 is a deficient number, since it is larger than the sum of its proper divisors (1).

21122111009 is an equidigital number, since it uses as much as digits as its factorization.

21122111009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 21122111009 in words is "twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, nine".