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10003222301 is a prime number
BaseRepresentation
bin10010101000011110…
…10000111100011101
3221211010211100021212
421110033100330131
5130441311103201
64332335434205
7502613662262
oct112417207435
927733740255
1010003222301
114273615a76
121b32085965
13c35578067
146ac761269
153d82e7abb
hex2543d0f1d

10003222301 has 2 divisors, whose sum is σ = 10003222302. Its totient is φ = 10003222300.

The previous prime is 10003222267. The next prime is 10003222303. The reversal of 10003222301 is 10322230001.

It is a happy number.

10003222301 is digitally balanced in base 2, 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., 6659376025 + 3343846276 = 81605^2 + 57826^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10003222301 is a prime.

Together with 10003222303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003222303) 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, 5001611150 + 5001611151.

It is an arithmetic number, because the mean of its divisors is an integer number (5001611151).

Almost surely, 210003222301 is an apocalyptic number.

It is an amenable number.

10003222301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003222301 is an equidigital number, since it uses as much as digits as its factorization.

10003222301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10003222301 its reverse (10322230001), we get a palindrome (20325452302).

The spelling of 10003222301 in words is "ten billion, three million, two hundred twenty-two thousand, three hundred one".