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223321331423101 is a prime number
BaseRepresentation
bin110010110001110000001100…
…101000010101011101111101
31002021201022101120010102210211
4302301300030220111131331
5213232344041321014401
62110544223042432421
765016301530540112
oct6261601450253575
91067638346112724
10223321331423101
116518005468224a
1221069206062711
13977c15a396952
143d20b4ad42909
151ac41788de951
hexcb1c0ca1577d

223321331423101 has 2 divisors, whose sum is σ = 223321331423102. Its totient is φ = 223321331423100.

The previous prime is 223321331423093. The next prime is 223321331423111. The reversal of 223321331423101 is 101324133123322.

223321331423101 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., 141260379860601 + 82060951562500 = 11885301^2 + 9058750^2 .

It is a cyclic number.

It is not a de Polignac number, because 223321331423101 - 23 = 223321331423093 is a prime.

It is a super-2 number, since 2×2233213314231012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223321331423111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111660665711550 + 111660665711551.

It is an arithmetic number, because the mean of its divisors is an integer number (111660665711551).

Almost surely, 2223321331423101 is an apocalyptic number.

It is an amenable number.

223321331423101 is a deficient number, since it is larger than the sum of its proper divisors (1).

223321331423101 is an equidigital number, since it uses as much as digits as its factorization.

223321331423101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 223321331423101 its reverse (101324133123322), we get a palindrome (324645464546423).

The spelling of 223321331423101 in words is "two hundred twenty-three trillion, three hundred twenty-one billion, three hundred thirty-one million, four hundred twenty-three thousand, one hundred one".