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22001022120241 is a prime number
BaseRepresentation
bin1010000000010100000110…
…00110111011000100110001
32212220021111001121110000001
411000022003012323010301
510340431043130321431
6114443044030430001
74430343560300233
oct500120306730461
985807431543001
1022001022120241
11701264346a99a
122573b41962301
13c378c252b788
14560bd8776253
1528246c963e61
hex1402831bb131

22001022120241 has 2 divisors, whose sum is σ = 22001022120242. Its totient is φ = 22001022120240.

The previous prime is 22001022120199. The next prime is 22001022120247. The reversal of 22001022120241 is 14202122010022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21664407486016 + 336614634225 = 4654504^2 + 580185^2 .

It is a cyclic number.

It is not a de Polignac number, because 22001022120241 - 27 = 22001022120113 is a prime.

It is not a weakly prime, because it can be changed into another prime (22001022120247) 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, 11000511060120 + 11000511060121.

It is an arithmetic number, because the mean of its divisors is an integer number (11000511060121).

Almost surely, 222001022120241 is an apocalyptic number.

It is an amenable number.

22001022120241 is a deficient number, since it is larger than the sum of its proper divisors (1).

22001022120241 is an equidigital number, since it uses as much as digits as its factorization.

22001022120241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 22001022120241 its reverse (14202122010022), we get a palindrome (36203144130263).

The spelling of 22001022120241 in words is "twenty-two trillion, one billion, twenty-two million, one hundred twenty thousand, two hundred forty-one".