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213023365441 is a prime number
BaseRepresentation
bin1100011001100100101…
…1101001100101000001
3202100211222001012022121
43012121023221211001
511442232440143231
6241510034004241
721250626505315
oct3063113514501
9670758035277
10213023365441
1182385155437
1235351116681
131711b4b2083
14a44b9adb45
15581b98e311
hex31992e9941

213023365441 has 2 divisors, whose sum is σ = 213023365442. Its totient is φ = 213023365440.

The previous prime is 213023365369. The next prime is 213023365447. The reversal of 213023365441 is 144563320312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204973507600 + 8049857841 = 452740^2 + 89721^2 .

It is a cyclic number.

It is not a de Polignac number, because 213023365441 - 29 = 213023364929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213023365397 and 213023365406.

It is not a weakly prime, because it can be changed into another prime (213023365447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106511682720 + 106511682721.

It is an arithmetic number, because the mean of its divisors is an integer number (106511682721).

Almost surely, 2213023365441 is an apocalyptic number.

It is an amenable number.

213023365441 is a deficient number, since it is larger than the sum of its proper divisors (1).

213023365441 is an equidigital number, since it uses as much as digits as its factorization.

213023365441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 213023365441 its reverse (144563320312), we get a palindrome (357586685753).

The spelling of 213023365441 in words is "two hundred thirteen billion, twenty-three million, three hundred sixty-five thousand, four hundred forty-one".