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227541317055761 is a prime number
BaseRepresentation
bin110011101111001010010111…
…010111111111010100010001
31002211122201220121121011012102
4303233022113113333110101
5214311014104131241021
62123535012112210145
765633213645554652
oct6357122727772421
91084581817534172
10227541317055761
11665578045406a5
122162b046839955
1399c7091bc8797
1440290b6789529
151b48d1269d00b
hexcef2975ff511

227541317055761 has 2 divisors, whose sum is σ = 227541317055762. Its totient is φ = 227541317055760.

The previous prime is 227541317055727. The next prime is 227541317055763. The reversal of 227541317055761 is 167550713145722.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223077524208400 + 4463792847361 = 14935780^2 + 2112769^2 .

It is a cyclic number.

It is not a de Polignac number, because 227541317055761 - 230 = 227540243313937 is a prime.

Together with 227541317055763, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 227541317055697 and 227541317055706.

It is not a weakly prime, because it can be changed into another prime (227541317055763) 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, 113770658527880 + 113770658527881.

It is an arithmetic number, because the mean of its divisors is an integer number (113770658527881).

Almost surely, 2227541317055761 is an apocalyptic number.

It is an amenable number.

227541317055761 is a deficient number, since it is larger than the sum of its proper divisors (1).

227541317055761 is an equidigital number, since it uses as much as digits as its factorization.

227541317055761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12348000, while the sum is 56.

The spelling of 227541317055761 in words is "two hundred twenty-seven trillion, five hundred forty-one billion, three hundred seventeen million, fifty-five thousand, seven hundred sixty-one".