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22340040030401 is a prime number
BaseRepresentation
bin1010001010001011100100…
…01001100111100011000001
32221002200112210121200020212
411011011302021213203001
510412004400221433101
6115302512301043505
74464005006055662
oct505056211474301
987080483550225
1022340040030401
1171333a3214635
122609796256595
13c6086cb03892
1457339987b369
1528b1b07b51bb
hex1451722678c1

22340040030401 has 2 divisors, whose sum is σ = 22340040030402. Its totient is φ = 22340040030400.

The previous prime is 22340040030377. The next prime is 22340040030403. The reversal of 22340040030401 is 10403004004322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17083218244225 + 5256821786176 = 4133185^2 + 2292776^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22340040030401 is a prime.

It is a super-2 number, since 2×223400400304012 (a number of 27 digits) contains 22 as substring.

Together with 22340040030403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22340040030403) 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, 11170020015200 + 11170020015201.

It is an arithmetic number, because the mean of its divisors is an integer number (11170020015201).

Almost surely, 222340040030401 is an apocalyptic number.

It is an amenable number.

22340040030401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22340040030401 is an equidigital number, since it uses as much as digits as its factorization.

22340040030401 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 23.

Adding to 22340040030401 its reverse (10403004004322), we get a palindrome (32743044034723).

The spelling of 22340040030401 in words is "twenty-two trillion, three hundred forty billion, forty million, thirty thousand, four hundred one".