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2012021021 is a prime number
BaseRepresentation
bin111011111101101…
…0000000100011101
312012012222020222002
41313323100010131
513110034133041
6531352332045
7100600616333
oct16773200435
95165866862
102012021021
1194280819a
124819a4025
13260ac5aaa
14151307b53
15bb98959b
hex77ed011d

2012021021 has 2 divisors, whose sum is σ = 2012021022. Its totient is φ = 2012021020.

The previous prime is 2012020991. The next prime is 2012021029. The reversal of 2012021021 is 1201202102.

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., 1708912921 + 303108100 = 41339^2 + 17410^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012021021 - 230 = 938279197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012020993 and 2012021011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012021029) 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, 1006010510 + 1006010511.

It is an arithmetic number, because the mean of its divisors is an integer number (1006010511).

Almost surely, 22012021021 is an apocalyptic number.

It is an amenable number.

2012021021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012021021 is an equidigital number, since it uses as much as digits as its factorization.

2012021021 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.

The square root of 2012021021 is about 44855.5573034156. The cubic root of 2012021021 is about 1262.4402655919.

Adding to 2012021021 its reverse (1201202102), we get a palindrome (3213223123).

The spelling of 2012021021 in words is "two billion, twelve million, twenty-one thousand, twenty-one".