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10223122001 is a prime number
BaseRepresentation
bin10011000010101100…
…00111011001010001
3222101110121101222012
421201112013121101
5131414104401001
64410232552305
7511224050261
oct114126073121
928343541865
1010223122001
11437675a964
121b93852695
13c6bcabc21
146cda437a1
153ec7832bb
hex261587651

10223122001 has 2 divisors, whose sum is σ = 10223122002. Its totient is φ = 10223122000.

The previous prime is 10223121983. The next prime is 10223122003. The reversal of 10223122001 is 10022132201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9804960400 + 418161601 = 99020^2 + 20449^2 .

It is a cyclic number.

It is not a de Polignac number, because 10223122001 - 214 = 10223105617 is a prime.

Together with 10223122003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10223122003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111561000 + 5111561001.

It is an arithmetic number, because the mean of its divisors is an integer number (5111561001).

Almost surely, 210223122001 is an apocalyptic number.

It is an amenable number.

10223122001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223122001 is an equidigital number, since it uses as much as digits as its factorization.

10223122001 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 14.

Adding to 10223122001 its reverse (10022132201), we get a palindrome (20245254202).

The spelling of 10223122001 in words is "ten billion, two hundred twenty-three million, one hundred twenty-two thousand, one".