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113205107753 is a prime number
BaseRepresentation
bin110100101101110001…
…1001101110000101001
3101211012110101022122122
41221123203031300221
53323321001422003
6124001122201025
711115220352633
oct1513343156051
9354173338578
10113205107753
1144012371aa1
1219b341b3175
13a8a153657a
14569cb3ba53
152e286a4238
hex1a5b8cdc29

113205107753 has 2 divisors, whose sum is σ = 113205107754. Its totient is φ = 113205107752.

The previous prime is 113205107747. The next prime is 113205107797. The reversal of 113205107753 is 357701502311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99197911849 + 14007195904 = 314957^2 + 118352^2 .

It is a cyclic number.

It is not a de Polignac number, because 113205107753 - 212 = 113205103657 is a prime.

It is not a weakly prime, because it can be changed into another prime (113205107723) 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, 56602553876 + 56602553877.

It is an arithmetic number, because the mean of its divisors is an integer number (56602553877).

Almost surely, 2113205107753 is an apocalyptic number.

It is an amenable number.

113205107753 is a deficient number, since it is larger than the sum of its proper divisors (1).

113205107753 is an equidigital number, since it uses as much as digits as its factorization.

113205107753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22050, while the sum is 35.

The spelling of 113205107753 in words is "one hundred thirteen billion, two hundred five million, one hundred seven thousand, seven hundred fifty-three".