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22322400343241 is a prime number
BaseRepresentation
bin1010001001101010101101…
…01111100011010011001001
32221001000000110102201112012
411010311112233203103021
510411212233441440431
6115250434045225305
74462511614152425
oct504652657432311
987030013381465
1022322400343241
117126971060589
122606292862235
13c5bcbb42a57b
145725a4c43b85
1528a9cbd8122b
hex144d56be34c9

22322400343241 has 2 divisors, whose sum is σ = 22322400343242. Its totient is φ = 22322400343240.

The previous prime is 22322400343207. The next prime is 22322400343247. The reversal of 22322400343241 is 14234300422322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12065619073600 + 10256781269641 = 3473560^2 + 3202621^2 .

It is a cyclic number.

It is not a de Polignac number, because 22322400343241 - 210 = 22322400342217 is a prime.

It is a super-3 number, since 3×223224003432413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22322400343198 and 22322400343207.

It is not a weakly prime, because it can be changed into another prime (22322400343247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11161200171620 + 11161200171621.

It is an arithmetic number, because the mean of its divisors is an integer number (11161200171621).

Almost surely, 222322400343241 is an apocalyptic number.

It is an amenable number.

22322400343241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22322400343241 is an equidigital number, since it uses as much as digits as its factorization.

22322400343241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22322400343241 its reverse (14234300422322), we get a palindrome (36556700765563).

The spelling of 22322400343241 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred million, three hundred forty-three thousand, two hundred forty-one".