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88242118241 is a prime number
BaseRepresentation
bin101001000101110100…
…0111101111001100001
322102202202010001200112
41102023220331321201
52421204440240431
6104312102501105
76242502425564
oct1221350757141
9272682101615
1088242118241
1134472414552
1215128134795
13842388ac64
1443b166a4db
152466d92c2b
hex148ba3de61

88242118241 has 2 divisors, whose sum is σ = 88242118242. Its totient is φ = 88242118240.

The previous prime is 88242118177. The next prime is 88242118259. The reversal of 88242118241 is 14281124288.

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., 84509397025 + 3732721216 = 290705^2 + 61096^2 .

It is a cyclic number.

It is not a de Polignac number, because 88242118241 - 26 = 88242118177 is a prime.

It is not a weakly prime, because it can be changed into another prime (88242118291) 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, 44121059120 + 44121059121.

It is an arithmetic number, because the mean of its divisors is an integer number (44121059121).

Almost surely, 288242118241 is an apocalyptic number.

It is an amenable number.

88242118241 is a deficient number, since it is larger than the sum of its proper divisors (1).

88242118241 is an equidigital number, since it uses as much as digits as its factorization.

88242118241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 65536, while the sum is 41.

The spelling of 88242118241 in words is "eighty-eight billion, two hundred forty-two million, one hundred eighteen thousand, two hundred forty-one".