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213120206147 is a prime number
BaseRepresentation
bin1100011001111011110…
…1000100010101000011
3202101002201021012210102
43012132331010111003
511442432233044042
6241523413353015
721253213601612
oct3063675042503
9671081235712
10213120206147
1182424889282
123537963876b
131713558a874
14a45a7bb879
15582521cb32
hex319ef44543

213120206147 has 2 divisors, whose sum is σ = 213120206148. Its totient is φ = 213120206146.

The previous prime is 213120206113. The next prime is 213120206153. The reversal of 213120206147 is 741602021312.

213120206147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213120206147 - 212 = 213120202051 is a prime.

It is not a weakly prime, because it can be changed into another prime (213120206177) 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, 106560103073 + 106560103074.

It is an arithmetic number, because the mean of its divisors is an integer number (106560103074).

Almost surely, 2213120206147 is an apocalyptic number.

213120206147 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120206147 is an equidigital number, since it uses as much as digits as its factorization.

213120206147 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

Adding to 213120206147 its reverse (741602021312), we get a palindrome (954722227459).

The spelling of 213120206147 in words is "two hundred thirteen billion, one hundred twenty million, two hundred six thousand, one hundred forty-seven".