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223312142401 is a prime number
BaseRepresentation
bin1100111111111001110…
…0001110000001000001
3210100102000012012221221
43033332130032001001
512124320402024101
6250331014115041
722063611614515
oct3177634160101
9710360165857
10223312142401
1186784978897
123734294ba81
131809ac6ab8a
14ab46224145
155c1ed90aa1
hex33fe70e041

223312142401 has 2 divisors, whose sum is σ = 223312142402. Its totient is φ = 223312142400.

The previous prime is 223312142399. The next prime is 223312142441. The reversal of 223312142401 is 104241213322.

223312142401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134066554801 + 89245587600 = 366151^2 + 298740^2 .

It is a cyclic number.

It is not a de Polignac number, because 223312142401 - 21 = 223312142399 is a prime.

Together with 223312142399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (223312142441) 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, 111656071200 + 111656071201.

It is an arithmetic number, because the mean of its divisors is an integer number (111656071201).

Almost surely, 2223312142401 is an apocalyptic number.

It is an amenable number.

223312142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312142401 is an equidigital number, since it uses as much as digits as its factorization.

223312142401 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 25.

Adding to 223312142401 its reverse (104241213322), we get a palindrome (327553355723).

The spelling of 223312142401 in words is "two hundred twenty-three billion, three hundred twelve million, one hundred forty-two thousand, four hundred one".