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22124340101 is a prime number
BaseRepresentation
bin10100100110101101…
…101010001110000101
32010002212211221000202
4110212231222032011
5330302312340401
614055213220245
71412155534163
oct244655521605
963085757022
1022124340101
1194236821a6
124355491685
132117838506
1410dc4aa233
158974e006b
hex526b6a385

22124340101 has 2 divisors, whose sum is σ = 22124340102. Its totient is φ = 22124340100.

The previous prime is 22124340089. The next prime is 22124340109. The reversal of 22124340101 is 10104342122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13701873025 + 8422467076 = 117055^2 + 91774^2 .

It is a cyclic number.

It is not a de Polignac number, because 22124340101 - 226 = 22057231237 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22124340109) 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, 11062170050 + 11062170051.

It is an arithmetic number, because the mean of its divisors is an integer number (11062170051).

Almost surely, 222124340101 is an apocalyptic number.

It is an amenable number.

22124340101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22124340101 is an equidigital number, since it uses as much as digits as its factorization.

22124340101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 22124340101 its reverse (10104342122), we get a palindrome (32228682223).

The spelling of 22124340101 in words is "twenty-two billion, one hundred twenty-four million, three hundred forty thousand, one hundred one".