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213120330041 is a prime number
BaseRepresentation
bin1100011001111011110…
…1100010100100111001
3202101002201111111202002
43012132331202210321
511442432301030131
6241523420150345
721253214626043
oct3063675424471
9671081444662
10213120330041
1182424963373
12353796983b5
1317135602088
14a45a810a93
1558252446cb
hex319ef62939

213120330041 has 2 divisors, whose sum is σ = 213120330042. Its totient is φ = 213120330040.

The previous prime is 213120330023. The next prime is 213120330043. The reversal of 213120330041 is 140033021312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200054925625 + 13065404416 = 447275^2 + 114304^2 .

It is a cyclic number.

It is not a de Polignac number, because 213120330041 - 210 = 213120329017 is a prime.

Together with 213120330043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 213120329995 and 213120330022.

It is not a weakly prime, because it can be changed into another prime (213120330043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560165020 + 106560165021.

It is an arithmetic number, because the mean of its divisors is an integer number (106560165021).

Almost surely, 2213120330041 is an apocalyptic number.

It is an amenable number.

213120330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213120330041 is an equidigital number, since it uses as much as digits as its factorization.

213120330041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213120330041 its reverse (140033021312), we get a palindrome (353153351353).

The spelling of 213120330041 in words is "two hundred thirteen billion, one hundred twenty million, three hundred thirty thousand, forty-one".