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223120333424057 is a prime number
BaseRepresentation
bin110010101110110101000000…
…001101110100010110111001
31002021000002120122221010222212
4302232311000031310112321
5213221100420324032212
62110312022142024505
764665624600664646
oct6256650015642671
91067002518833885
10223120333424057
1165102890534653
1221036270278135
13976620738b2c4
143d151204b4dcd
151abdd12a31e22
hexcaed403745b9

223120333424057 has 2 divisors, whose sum is σ = 223120333424058. Its totient is φ = 223120333424056.

The previous prime is 223120333424039. The next prime is 223120333424059. The reversal of 223120333424057 is 750424333021322.

223120333424057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220535003877241 + 2585329546816 = 14850421^2 + 1607896^2 .

It is a cyclic number.

It is not a de Polignac number, because 223120333424057 - 220 = 223120332375481 is a prime.

It is a super-3 number, since 3×2231203334240573 (a number of 44 digits) contains 333 as substring.

Together with 223120333424059, 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 (223120333424059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111560166712028 + 111560166712029.

It is an arithmetic number, because the mean of its divisors is an integer number (111560166712029).

Almost surely, 2223120333424057 is an apocalyptic number.

It is an amenable number.

223120333424057 is a deficient number, since it is larger than the sum of its proper divisors (1).

223120333424057 is an equidigital number, since it uses as much as digits as its factorization.

223120333424057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 725760, while the sum is 41.

Adding to 223120333424057 its reverse (750424333021322), we get a palindrome (973544666445379).

The spelling of 223120333424057 in words is "two hundred twenty-three trillion, one hundred twenty billion, three hundred thirty-three million, four hundred twenty-four thousand, fifty-seven".