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223123322137 is a prime number
BaseRepresentation
bin1100111111001100101…
…1111011010100011001
3210022220211220011020211
43033303023323110121
512123424032302022
6250300151051121
722056126642232
oct3176313732431
9708824804224
10223123322137
1186698331391
12372ab670aa1
131806aac9401
14ab29112089
155c0d4e3e77
hex33f32fb519

223123322137 has 2 divisors, whose sum is σ = 223123322138. Its totient is φ = 223123322136.

The previous prime is 223123322087. The next prime is 223123322221. The reversal of 223123322137 is 731223321322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165371542281 + 57751779856 = 406659^2 + 240316^2 .

It is a cyclic number.

It is not a de Polignac number, because 223123322137 - 211 = 223123320089 is a prime.

It is a super-3 number, since 3×2231233221373 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223123322099 and 223123322108.

It is not a weakly prime, because it can be changed into another prime (223123322837) 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, 111561661068 + 111561661069.

It is an arithmetic number, because the mean of its divisors is an integer number (111561661069).

Almost surely, 2223123322137 is an apocalyptic number.

It is an amenable number.

223123322137 is a deficient number, since it is larger than the sum of its proper divisors (1).

223123322137 is an equidigital number, since it uses as much as digits as its factorization.

223123322137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18144, while the sum is 31.

Adding to 223123322137 its reverse (731223321322), we get a palindrome (954346643459).

The spelling of 223123322137 in words is "two hundred twenty-three billion, one hundred twenty-three million, three hundred twenty-two thousand, one hundred thirty-seven".