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223032113137 is a prime number
BaseRepresentation
bin1100111110110110111…
…1111111011111110001
3210022200111021021000201
43033231233333133301
512123232210110022
6250243132115201
722053641452621
oct3175557773761
9708614237021
10223032113137
11866508a4749
1237285005b01
1318054c430a2
14ab1ad6c881
155c054c9127
hex33edbff7f1

223032113137 has 2 divisors, whose sum is σ = 223032113138. Its totient is φ = 223032113136.

The previous prime is 223032113107. The next prime is 223032113141. The reversal of 223032113137 is 731311230322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200461257441 + 22570855696 = 447729^2 + 150236^2 .

It is a cyclic number.

It is not a de Polignac number, because 223032113137 - 211 = 223032111089 is a prime.

It is not a weakly prime, because it can be changed into another prime (223032113107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111516056568 + 111516056569.

It is an arithmetic number, because the mean of its divisors is an integer number (111516056569).

Almost surely, 2223032113137 is an apocalyptic number.

It is an amenable number.

223032113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

223032113137 is an equidigital number, since it uses as much as digits as its factorization.

223032113137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

Adding to 223032113137 its reverse (731311230322), we get a palindrome (954343343459).

The spelling of 223032113137 in words is "two hundred twenty-three billion, thirty-two million, one hundred thirteen thousand, one hundred thirty-seven".