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213420002021 is a prime number
BaseRepresentation
bin1100011011000011010…
…0101100101011100101
3202101212121101102102022
43012300310230223211
511444041010031041
6242013243152525
721263514041222
oct3066064545345
9671777342368
10213420002021
1182569033366
1235441b15745
1317182716785
14a48853a949
1558416db24b
hex31b0d2cae5

213420002021 has 2 divisors, whose sum is σ = 213420002022. Its totient is φ = 213420002020.

The previous prime is 213420002011. The next prime is 213420002057. The reversal of 213420002021 is 120200024312.

213420002021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188798940100 + 24621061921 = 434510^2 + 156911^2 .

It is a cyclic number.

It is not a de Polignac number, because 213420002021 - 226 = 213352893157 is a prime.

It is a super-3 number, since 3×2134200020213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213420002011) 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, 106710001010 + 106710001011.

It is an arithmetic number, because the mean of its divisors is an integer number (106710001011).

Almost surely, 2213420002021 is an apocalyptic number.

It is an amenable number.

213420002021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213420002021 is an equidigital number, since it uses as much as digits as its factorization.

213420002021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213420002021 its reverse (120200024312), we get a palindrome (333620026333).

The spelling of 213420002021 in words is "two hundred thirteen billion, four hundred twenty million, two thousand, twenty-one".