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221123301323033 is a prime number
BaseRepresentation
bin110010010001110001000111…
…110100111011000100011001
31001222221011220001201012001002
4302101301013310323010121
5212440341010114314113
62102142350421234345
764401426354133364
oct6221610764730431
91058834801635032
10221123301323033
1164502957a1923a
12209732162629b5
13964cab797c095
143c865d3c730db
151a86dd03a6c58
hexc91c47d3b119

221123301323033 has 2 divisors, whose sum is σ = 221123301323034. Its totient is φ = 221123301323032.

The previous prime is 221123301322981. The next prime is 221123301323083. The reversal of 221123301323033 is 330323103321122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 220856811007504 + 266490315529 = 14861252^2 + 516227^2 .

It is a cyclic number.

It is not a de Polignac number, because 221123301323033 - 26 = 221123301322969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 221123301322987 and 221123301323005.

It is not a weakly prime, because it can be changed into another prime (221123301323083) 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, 110561650661516 + 110561650661517.

It is an arithmetic number, because the mean of its divisors is an integer number (110561650661517).

Almost surely, 2221123301323033 is an apocalyptic number.

It is an amenable number.

221123301323033 is a deficient number, since it is larger than the sum of its proper divisors (1).

221123301323033 is an equidigital number, since it uses as much as digits as its factorization.

221123301323033 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 221123301323033 its reverse (330323103321122), we get a palindrome (551446404644155).

The spelling of 221123301323033 in words is "two hundred twenty-one trillion, one hundred twenty-three billion, three hundred one million, three hundred twenty-three thousand, thirty-three".