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4023221442313 is a prime number
BaseRepresentation
bin111010100010111010101…
…011110101011100001001
3112020121122012221012021011
4322202322223311130021
51011404024142123223
612320124210043521
7563445115004113
oct72427253653411
915217565835234
104023221442313
111311269689a07
1254b8888795a1
13232507a0b948
14dca213d23b3
156e9be95c80d
hex3a8baaf5709

4023221442313 has 2 divisors, whose sum is σ = 4023221442314. Its totient is φ = 4023221442312.

The previous prime is 4023221442311. The next prime is 4023221442329. The reversal of 4023221442313 is 3132441223204.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3754479771904 + 268741670409 = 1937648^2 + 518403^2 .

It is a cyclic number.

It is not a de Polignac number, because 4023221442313 - 21 = 4023221442311 is a prime.

It is a super-3 number, since 3×40232214423133 (a number of 39 digits) contains 333 as substring.

Together with 4023221442311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4023221442311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2011610721156 + 2011610721157.

It is an arithmetic number, because the mean of its divisors is an integer number (2011610721157).

Almost surely, 24023221442313 is an apocalyptic number.

It is an amenable number.

4023221442313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4023221442313 is an equidigital number, since it uses as much as digits as its factorization.

4023221442313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 4023221442313 its reverse (3132441223204), we get a palindrome (7155662665517).

The spelling of 4023221442313 in words is "four trillion, twenty-three billion, two hundred twenty-one million, four hundred forty-two thousand, three hundred thirteen".