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252240113 is a prime number
BaseRepresentation
bin11110000100011…
…10000011110001
3122120122010101102
433002032003301
51004033140423
641010214145
76152001626
oct1702160361
9576563342
10252240113
1111a423804
1270584355
1340348208
142570034d
1517227c28
hexf08e0f1

252240113 has 2 divisors, whose sum is σ = 252240114. Its totient is φ = 252240112.

The previous prime is 252240097. The next prime is 252240133. The reversal of 252240113 is 311042252.

It is an a-pointer prime, because the next prime (252240133) can be obtained adding 252240113 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 251444449 + 795664 = 15857^2 + 892^2 .

It is a cyclic number.

It is not a de Polignac number, because 252240113 - 24 = 252240097 is a prime.

It is not a weakly prime, because it can be changed into another prime (252240133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126120056 + 126120057.

It is an arithmetic number, because the mean of its divisors is an integer number (126120057).

Almost surely, 2252240113 is an apocalyptic number.

It is an amenable number.

252240113 is a deficient number, since it is larger than the sum of its proper divisors (1).

252240113 is an equidigital number, since it uses as much as digits as its factorization.

252240113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 252240113 is about 15882.0689143449. The cubic root of 252240113 is about 631.8365098460.

Adding to 252240113 its reverse (311042252), we get a palindrome (563282365).

The spelling of 252240113 in words is "two hundred fifty-two million, two hundred forty thousand, one hundred thirteen".