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10032220321 is a prime number
BaseRepresentation
bin10010101011111011…
…11000100010100001
3221220011101121002121
421111331320202201
5131021222022241
64335253144241
7503415315514
oct112575704241
927804347077
1010032220321
114288a21682
121b3b92b081
13c3b58bc56
146b254cd7b
153dab24ad1
hex255f788a1

10032220321 has 2 divisors, whose sum is σ = 10032220322. Its totient is φ = 10032220320.

The previous prime is 10032220313. The next prime is 10032220337. The reversal of 10032220321 is 12302223001.

10032220321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10032220337) can be obtained adding 10032220321 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7905165921 + 2127054400 = 88911^2 + 46120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032220321 - 23 = 10032220313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032220295 and 10032220304.

It is not a weakly prime, because it can be changed into another prime (10032220021) 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, 5016110160 + 5016110161.

It is an arithmetic number, because the mean of its divisors is an integer number (5016110161).

Almost surely, 210032220321 is an apocalyptic number.

It is an amenable number.

10032220321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032220321 is an equidigital number, since it uses as much as digits as its factorization.

10032220321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10032220321 its reverse (12302223001), we get a palindrome (22334443322).

The spelling of 10032220321 in words is "ten billion, thirty-two million, two hundred twenty thousand, three hundred twenty-one".