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223023321131033 is a prime number
BaseRepresentation
bin110010101101011010101001…
…110101010010100000011001
31002020122211011201012001020002
4302231122221311102200121
5213213003230202143113
62110155255503542345
764655621543052263
oct6255325165224031
91066584151161202
10223023321131033
1165075728632a75
122101b4b6bba9b5
13975a01684a917
143d1055a17ab33
151abb535c5dc58
hexcad6a9d52819

223023321131033 has 2 divisors, whose sum is σ = 223023321131034. Its totient is φ = 223023321131032.

The previous prime is 223023321131021. The next prime is 223023321131077. The reversal of 223023321131033 is 330131123320322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138134960004889 + 84888361126144 = 11753083^2 + 9213488^2 .

It is a cyclic number.

It is not a de Polignac number, because 223023321131033 - 218 = 223023320868889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223023321130987 and 223023321131005.

It is not a weakly prime, because it can be changed into another prime (223023321131333) 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, 111511660565516 + 111511660565517.

It is an arithmetic number, because the mean of its divisors is an integer number (111511660565517).

Almost surely, 2223023321131033 is an apocalyptic number.

It is an amenable number.

223023321131033 is a deficient number, since it is larger than the sum of its proper divisors (1).

223023321131033 is an equidigital number, since it uses as much as digits as its factorization.

223023321131033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 223023321131033 its reverse (330131123320322), we get a palindrome (553154444451355).

The spelling of 223023321131033 in words is "two hundred twenty-three trillion, twenty-three billion, three hundred twenty-one million, one hundred thirty-one thousand, thirty-three".