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213023371633 is a prime number
BaseRepresentation
bin1100011001100100101…
…1101011000101110001
3202100211222001111210221
43012121023223011301
511442232440343013
6241510034053041
721250626532342
oct3063113530561
9670758044727
10213023371633
118238515a056
123535111a181
131711b4b4b37
14a44b9b20c9
15581b99108d
hex31992eb171

213023371633 has 2 divisors, whose sum is σ = 213023371634. Its totient is φ = 213023371632.

The previous prime is 213023371607. The next prime is 213023371663. The reversal of 213023371633 is 336173320312.

213023371633 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., 133277565184 + 79745806449 = 365072^2 + 282393^2 .

It is a cyclic number.

It is not a de Polignac number, because 213023371633 - 233 = 204433437041 is a prime.

It is not a weakly prime, because it can be changed into another prime (213023371663) 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, 106511685816 + 106511685817.

It is an arithmetic number, because the mean of its divisors is an integer number (106511685817).

Almost surely, 2213023371633 is an apocalyptic number.

It is an amenable number.

213023371633 is a deficient number, since it is larger than the sum of its proper divisors (1).

213023371633 is an equidigital number, since it uses as much as digits as its factorization.

213023371633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40824, while the sum is 34.

Adding to 213023371633 its reverse (336173320312), we get a palindrome (549196691945).

The spelling of 213023371633 in words is "two hundred thirteen billion, twenty-three million, three hundred seventy-one thousand, six hundred thirty-three".