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22222301122321 is a prime number
BaseRepresentation
bin1010000110110000010000…
…10111010100111100010001
32220200102122101002102202121
411003120020113110330101
510403042233041403241
6115132441215414241
74452336223625206
oct503301027247421
986612571072677
1022222301122321
117098474716323
1225aa9b7824381
13c527281bab31
1456b7ca955cad
152880be097ad1
hex1436085d4f11

22222301122321 has 2 divisors, whose sum is σ = 22222301122322. Its totient is φ = 22222301122320.

The previous prime is 22222301122319. The next prime is 22222301122379. The reversal of 22222301122321 is 12322110322222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11856728089600 + 10365573032721 = 3443360^2 + 3219561^2 .

It is a cyclic number.

It is not a de Polignac number, because 22222301122321 - 21 = 22222301122319 is a prime.

It is a super-2 number, since 2×222223011223212 (a number of 27 digits) contains 22 as substring.

Together with 22222301122319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (22222301122381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11111150561160 + 11111150561161.

It is an arithmetic number, because the mean of its divisors is an integer number (11111150561161).

Almost surely, 222222301122321 is an apocalyptic number.

It is an amenable number.

22222301122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22222301122321 is an equidigital number, since it uses as much as digits as its factorization.

22222301122321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 22222301122321 its reverse (12322110322222), we get a palindrome (34544411444543).

The spelling of 22222301122321 in words is "twenty-two trillion, two hundred twenty-two billion, three hundred one million, one hundred twenty-two thousand, three hundred twenty-one".