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33213210221 is a prime number
BaseRepresentation
bin11110111011101010…
…010101111001101101
310011201200111220011002
4132323222111321231
51021010040211341
623131414210045
72254024425452
oct367352257155
9104650456132
1033213210221
11130a3a9a474
12652b053925
133193caa719
1418710b1829
15ce5c8629b
hex7bba95e6d

33213210221 has 2 divisors, whose sum is σ = 33213210222. Its totient is φ = 33213210220.

The previous prime is 33213210211. The next prime is 33213210263. The reversal of 33213210221 is 12201231233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29838762121 + 3374448100 = 172739^2 + 58090^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33213210221 is a prime.

It is a super-2 number, since 2×332132102212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33213210193 and 33213210202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33213210211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16606605110 + 16606605111.

It is an arithmetic number, because the mean of its divisors is an integer number (16606605111).

Almost surely, 233213210221 is an apocalyptic number.

It is an amenable number.

33213210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

33213210221 is an equidigital number, since it uses as much as digits as its factorization.

33213210221 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 33213210221 its reverse (12201231233), we get a palindrome (45414441454).

The spelling of 33213210221 in words is "thirty-three billion, two hundred thirteen million, two hundred ten thousand, two hundred twenty-one".