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22002442801 is a prime number
BaseRepresentation
bin10100011111011100…
…101010001000110001
32002210101110220100221
4110133130222020301
5330030111132201
614035140413041
71406145451363
oct243734521061
962711426327
1022002442801
119370894a29
1243206a7181
1320c84c8b31
1410ca218d33
1588b9624a1
hex51f72a231

22002442801 has 2 divisors, whose sum is σ = 22002442802. Its totient is φ = 22002442800.

The previous prime is 22002442771. The next prime is 22002442817. The reversal of 22002442801 is 10824420022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17767557025 + 4234885776 = 133295^2 + 65076^2 .

It is a cyclic number.

It is not a de Polignac number, because 22002442801 - 25 = 22002442769 is a prime.

It is a super-4 number, since 4×220024428014 (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (22002446801) 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, 11001221400 + 11001221401.

It is an arithmetic number, because the mean of its divisors is an integer number (11001221401).

Almost surely, 222002442801 is an apocalyptic number.

It is an amenable number.

22002442801 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002442801 is an equidigital number, since it uses as much as digits as its factorization.

22002442801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 22002442801 its reverse (10824420022), we get a palindrome (32826862823).

The spelling of 22002442801 in words is "twenty-two billion, two million, four hundred forty-two thousand, eight hundred one".