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2010212021 is a prime number
BaseRepresentation
bin111011111010001…
…0110011010110101
312012002120100111002
41313310112122311
513104103241041
6531245453045
7100546343306
oct16764263265
95162510432
102010212021
11941792054
12481271185
1326061158c
14150d967ad
15bb72d59b
hex77d166b5

2010212021 has 2 divisors, whose sum is σ = 2010212022. Its totient is φ = 2010212020.

The previous prime is 2010212011. The next prime is 2010212093. The reversal of 2010212021 is 1202120102.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1498773796 + 511438225 = 38714^2 + 22615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2010212021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2010211993 and 2010212011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010212011) 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, 1005106010 + 1005106011.

It is an arithmetic number, because the mean of its divisors is an integer number (1005106011).

Almost surely, 22010212021 is an apocalyptic number.

It is an amenable number.

2010212021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010212021 is an equidigital number, since it uses as much as digits as its factorization.

2010212021 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 2010212021 is about 44835.3880433748. The cubic root of 2010212021 is about 1262.0618004902.

Adding to 2010212021 its reverse (1202120102), we get a palindrome (3212332123).

It can be divided in two parts, 20102 and 12021, that multiplied together give a palindrome (241646142).

The spelling of 2010212021 in words is "two billion, ten million, two hundred twelve thousand, twenty-one".