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213353844481 is a prime number
BaseRepresentation
bin1100011010110011100…
…0010100111100000001
3202101200222220021100001
43012230320110330001
511443422041010411
6242002521200001
721262051520131
oct3065470247401
9671628807301
10213353844481
1182534757208
1235423930001
1317171ac1bbb
14a47d838ac1
15583a9bddc1
hex31ace14f01

213353844481 has 2 divisors, whose sum is σ = 213353844482. Its totient is φ = 213353844480.

The previous prime is 213353844479. The next prime is 213353844559. The reversal of 213353844481 is 184448353312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 179938004481 + 33415840000 = 424191^2 + 182800^2 .

It is a cyclic number.

It is not a de Polignac number, because 213353844481 - 21 = 213353844479 is a prime.

It is a super-2 number, since 2×2133538444812 (a number of 23 digits) contains 22 as substring.

Together with 213353844479, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213353844421) 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, 106676922240 + 106676922241.

It is an arithmetic number, because the mean of its divisors is an integer number (106676922241).

Almost surely, 2213353844481 is an apocalyptic number.

It is an amenable number.

213353844481 is a deficient number, since it is larger than the sum of its proper divisors (1).

213353844481 is an equidigital number, since it uses as much as digits as its factorization.

213353844481 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1105920, while the sum is 46.

The spelling of 213353844481 in words is "two hundred thirteen billion, three hundred fifty-three million, eight hundred forty-four thousand, four hundred eighty-one".