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221313331533253 is a prime number
BaseRepresentation
bin110010010100100010000110…
…100000101001010111000101
31002000121100101121002002001011
4302110202012200221113011
5213001444200333031003
62102405535124202221
764421234445231031
oct6224420640512705
91060540347062034
10221313331533253
1164576503029853
12209a400ab39371
1396649b062a65b
143c9189dc171c1
151a8bd0343946d
hexc948868295c5

221313331533253 has 2 divisors, whose sum is σ = 221313331533254. Its totient is φ = 221313331533252.

The previous prime is 221313331533233. The next prime is 221313331533323. The reversal of 221313331533253 is 352335133313122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 193858644895969 + 27454686637284 = 13923313^2 + 5239722^2 .

It is a cyclic number.

It is not a de Polignac number, because 221313331533253 - 229 = 221312794662341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221313331533223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110656665766626 + 110656665766627.

It is an arithmetic number, because the mean of its divisors is an integer number (110656665766627).

Almost surely, 2221313331533253 is an apocalyptic number.

It is an amenable number.

221313331533253 is a deficient number, since it is larger than the sum of its proper divisors (1).

221313331533253 is an equidigital number, since it uses as much as digits as its factorization.

221313331533253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 437400, while the sum is 40.

Adding to 221313331533253 its reverse (352335133313122), we get a palindrome (573648464846375).

The spelling of 221313331533253 in words is "two hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, five hundred thirty-three thousand, two hundred fifty-three".