Search a number
-
+
113144042241 = 3310340684661
BaseRepresentation
bin110100101011111101…
…0010001001100000001
3101211001012110212112000
41221113322101030001
53323204333322431
6123551101254213
711113546330236
oct1512772211401
9354035425460
10113144042241
1143a9095362a
1219b17864369
13a8919a5629
1456949a378d
152e231409e6
hex1a57e91301

113144042241 has 16 divisors (see below), whose sum is σ = 169248193920. Its totient is φ = 74697035760.

The previous prime is 113144042239. The next prime is 113144042257. The reversal of 113144042241 is 142240441311.

113144042241 is a `hidden beast` number, since 1 + 1 + 3 + 14 + 404 + 2 + 241 = 666.

It is not a de Polignac number, because 113144042241 - 21 = 113144042239 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113144042201) 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 in 15 ways as a sum of consecutive naturals, for example, 20339550 + ... + 20345111.

It is an arithmetic number, because the mean of its divisors is an integer number (10578012120).

Almost surely, 2113144042241 is an apocalyptic number.

It is an amenable number.

113144042241 is a deficient number, since it is larger than the sum of its proper divisors (56104151679).

113144042241 is a wasteful number, since it uses less digits than its factorization.

113144042241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40684773 (or 40684767 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 113144042241 its reverse (142240441311), we get a palindrome (255384483552).

The spelling of 113144042241 in words is "one hundred thirteen billion, one hundred forty-four million, forty-two thousand, two hundred forty-one".

Divisors: 1 3 9 27 103 309 927 2781 40684661 122053983 366161949 1098485847 4190520083 12571560249 37714680747 113144042241