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22321214040413 is a prime number
BaseRepresentation
bin1010001001101000100000…
…00010001010100101011101
32221000212221210012021222102
411010310100002022211131
510411202321243243123
6115250120230454445
74462440330562541
oct504642002124535
987025853167872
1022321214040413
11712641245a722
122606001504425
13c5bb5c720732
145724d147ba21
1528a95cb4e028
hex144d1008a95d

22321214040413 has 2 divisors, whose sum is σ = 22321214040414. Its totient is φ = 22321214040412.

The previous prime is 22321214040371. The next prime is 22321214040469. The reversal of 22321214040413 is 31404041212322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12382819079929 + 9938394960484 = 3518923^2 + 3152522^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321214040413 - 214 = 22321214024029 is a prime.

It is a super-3 number, since 3×223212140404133 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22321214040113) 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, 11160607020206 + 11160607020207.

It is an arithmetic number, because the mean of its divisors is an integer number (11160607020207).

Almost surely, 222321214040413 is an apocalyptic number.

It is an amenable number.

22321214040413 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321214040413 is an equidigital number, since it uses as much as digits as its factorization.

22321214040413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 22321214040413 its reverse (31404041212322), we get a palindrome (53725255252735).

The spelling of 22321214040413 in words is "twenty-two trillion, three hundred twenty-one billion, two hundred fourteen million, forty thousand, four hundred thirteen".