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10222302001 is a prime number
BaseRepresentation
bin10011000010100101…
…11111001100110001
3222101102001202010211
421201102333030301
5131413402131001
64410203224121
7511214063512
oct114122771461
928342052124
1010222302001
11437624a87a
121b93518041
13c6ba82912
146cd8aca09
153ec670351
hex2614bf331

10222302001 has 2 divisors, whose sum is σ = 10222302002. Its totient is φ = 10222302000.

The previous prime is 10222301951. The next prime is 10222302037. The reversal of 10222302001 is 10020322201.

10222302001 is digitally balanced in base 2 and base 3, because in such bases 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., 9105739776 + 1116562225 = 95424^2 + 33415^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10222302001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222302301) 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, 5111151000 + 5111151001.

It is an arithmetic number, because the mean of its divisors is an integer number (5111151001).

Almost surely, 210222302001 is an apocalyptic number.

It is an amenable number.

10222302001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222302001 is an equidigital number, since it uses as much as digits as its factorization.

10222302001 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.

Adding to 10222302001 its reverse (10020322201), we get a palindrome (20242624202).

The spelling of 10222302001 in words is "ten billion, two hundred twenty-two million, three hundred two thousand, one".