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22553444301257 is a prime number
BaseRepresentation
bin1010010000011001000100…
…00010010011100111001001
32221212002101022101212120102
411020030202002103213021
510424003423220120012
6115544524223135145
74515301242330602
oct510144202234711
987762338355512
1022553444301257
117205953382931
122643012a444b5
13c77a1c19cc6c
1457d841c80da9
15291a008e52c2
hex1483220939c9

22553444301257 has 2 divisors, whose sum is σ = 22553444301258. Its totient is φ = 22553444301256.

The previous prime is 22553444301229. The next prime is 22553444301347. The reversal of 22553444301257 is 75210344435522.

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., 18689876666041 + 3863567635216 = 4323179^2 + 1965596^2 .

It is a cyclic number.

It is not a de Polignac number, because 22553444301257 - 212 = 22553444297161 is a prime.

It is not a weakly prime, because it can be changed into another prime (22553444304257) 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, 11276722150628 + 11276722150629.

It is an arithmetic number, because the mean of its divisors is an integer number (11276722150629).

Almost surely, 222553444301257 is an apocalyptic number.

It is an amenable number.

22553444301257 is a deficient number, since it is larger than the sum of its proper divisors (1).

22553444301257 is an equidigital number, since it uses as much as digits as its factorization.

22553444301257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032000, while the sum is 47.

Adding to 22553444301257 its reverse (75210344435522), we get a palindrome (97763788736779).

The spelling of 22553444301257 in words is "twenty-two trillion, five hundred fifty-three billion, four hundred forty-four million, three hundred one thousand, two hundred fifty-seven".