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20221212001 is a prime number
BaseRepresentation
bin10010110101010001…
…110011010101100001
31221012020210000001211
4102311101303111201
5312403112241001
613142310430121
71314046315564
oct226521632541
957166700054
1020221212001
11863738a961
123b04062341
131ba347ac03
14d9b82a4db
157d53b5351
hex4b5473561

20221212001 has 2 divisors, whose sum is σ = 20221212002. Its totient is φ = 20221212000.

The previous prime is 20221211999. The next prime is 20221212073. The reversal of 20221212001 is 10021212202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10201202001 + 10020010000 = 101001^2 + 100100^2 .

It is a cyclic number.

It is not a de Polignac number, because 20221212001 - 21 = 20221211999 is a prime.

It is a super-3 number, since 3×202212120013 (a number of 32 digits) contains 333 as substring.

Together with 20221211999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20221212091) 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, 10110606000 + 10110606001.

It is an arithmetic number, because the mean of its divisors is an integer number (10110606001).

Almost surely, 220221212001 is an apocalyptic number.

It is an amenable number.

20221212001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221212001 is an equidigital number, since it uses as much as digits as its factorization.

20221212001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20221212001 its reverse (10021212202), we get a palindrome (30242424203).

The spelling of 20221212001 in words is "twenty billion, two hundred twenty-one million, two hundred twelve thousand, one".