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10034221 is a prime number
BaseRepresentation
bin100110010001…
…110000101101
3200212210100211
4212101300231
510032043341
6555022421
7151201201
oct46216055
920783324
1010034221
11573394a
12343aa11
132104312
141492b01
15d33181
hex991c2d

10034221 has 2 divisors, whose sum is σ = 10034222. Its totient is φ = 10034220.

The previous prime is 10034209. The next prime is 10034231. The reversal of 10034221 is 12243001.

10034221 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5978025 + 4056196 = 2445^2 + 2014^2 .

It is a cyclic number.

It is not a de Polignac number, because 10034221 - 217 = 9903149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10034201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5017110 + 5017111.

It is an arithmetic number, because the mean of its divisors is an integer number (5017111).

Almost surely, 210034221 is an apocalyptic number.

It is an amenable number.

10034221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10034221 is an equidigital number, since it uses as much as digits as its factorization.

10034221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10034221 is about 3167.6838541748. The cubic root of 10034221 is about 215.6889455657.

Adding to 10034221 its reverse (12243001), we get a palindrome (22277222).

The spelling of 10034221 in words is "ten million, thirty-four thousand, two hundred twenty-one".