Search a number
-
+
113332103303129 is a prime number
BaseRepresentation
bin11001110001001100101111…
…110000100100111111011001
3112212021102222010202212011022
4121301030233300210333121
5104323313121421200004
61041012014405412225
732604655112340254
oct3161145760447731
9485242863685138
10113332103303129
1133124969830a47
121086463010a075
134b3122c99b4c9
141ddb43589009b
15d18064c0a2be
hex67132fc24fd9

113332103303129 has 2 divisors, whose sum is σ = 113332103303130. Its totient is φ = 113332103303128.

The previous prime is 113332103303123. The next prime is 113332103303173. The reversal of 113332103303129 is 921303301233311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93472602343129 + 19859500960000 = 9668123^2 + 4456400^2 .

It is a cyclic number.

It is not a de Polignac number, because 113332103303129 - 212 = 113332103299033 is a prime.

It is a super-2 number, since 2×1133321033031292 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113332103303123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56666051651564 + 56666051651565.

It is an arithmetic number, because the mean of its divisors is an integer number (56666051651565).

Almost surely, 2113332103303129 is an apocalyptic number.

It is an amenable number.

113332103303129 is a deficient number, since it is larger than the sum of its proper divisors (1).

113332103303129 is an equidigital number, since it uses as much as digits as its factorization.

113332103303129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26244, while the sum is 35.

The spelling of 113332103303129 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred three million, three hundred three thousand, one hundred twenty-nine".