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213317104321 is a prime number
BaseRepresentation
bin1100011010101010110…
…0001011001011000001
3202101121102202200022101
43012222230023023001
511443333134314241
6241555125510401
721261124320016
oct3065254131301
9671542680271
10213317104321
1182515a42842
1235413572401
13171672ca069
14a4789d370d
155837662e31
hex31aab0b2c1

213317104321 has 2 divisors, whose sum is σ = 213317104322. Its totient is φ = 213317104320.

The previous prime is 213317104309. The next prime is 213317104331. The reversal of 213317104321 is 123401713312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192862383921 + 20454720400 = 439161^2 + 143020^2 .

It is a cyclic number.

It is not a de Polignac number, because 213317104321 - 223 = 213308715713 is a prime.

It is a super-3 number, since 3×2133171043213 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213317104321.

It is not a weakly prime, because it can be changed into another prime (213317104331) 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, 106658552160 + 106658552161.

It is an arithmetic number, because the mean of its divisors is an integer number (106658552161).

Almost surely, 2213317104321 is an apocalyptic number.

It is an amenable number.

213317104321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213317104321 is an equidigital number, since it uses as much as digits as its factorization.

213317104321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 213317104321 its reverse (123401713312), we get a palindrome (336718817633).

The spelling of 213317104321 in words is "two hundred thirteen billion, three hundred seventeen million, one hundred four thousand, three hundred twenty-one".