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113205113089 is a prime number
BaseRepresentation
bin110100101101110001…
…1001111000100000001
3101211012110101120222021
41221123203033010001
53323321002104324
6124001122241441
711115220404325
oct1513343170401
9354173346867
10113205113089
1144012376002
1219b341b6281
13a8a1538b23
14569cb3d985
152e286a5ae4
hex1a5b8cf101

113205113089 has 2 divisors, whose sum is σ = 113205113090. Its totient is φ = 113205113088.

The previous prime is 113205113041. The next prime is 113205113111. The reversal of 113205113089 is 980311502311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88436648689 + 24768464400 = 297383^2 + 157380^2 .

It is a cyclic number.

It is not a de Polignac number, because 113205113089 - 217 = 113204982017 is a prime.

It is not a weakly prime, because it can be changed into another prime (113205113039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56602556544 + 56602556545.

It is an arithmetic number, because the mean of its divisors is an integer number (56602556545).

Almost surely, 2113205113089 is an apocalyptic number.

It is an amenable number.

113205113089 is a deficient number, since it is larger than the sum of its proper divisors (1).

113205113089 is an equidigital number, since it uses as much as digits as its factorization.

113205113089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 113205113089 in words is "one hundred thirteen billion, two hundred five million, one hundred thirteen thousand, eighty-nine".