Search a number
-
+
122341124241 = 3271925379287
BaseRepresentation
bin111000111110000011…
…0010110100010010001
3102200210011102001012200
41301330012112202101
54001023311433431
6132111442513413
711560504253340
oct1617406264221
9380704361180
10122341124241
1147980414446
121b863965869
13b6c922a99b
145cc823bb57
1532b079bee6
hex1c7c196891

122341124241 has 36 divisors (see below), whose sum is σ = 213148907712. Its totient is φ = 66229769232.

The previous prime is 122341124239. The next prime is 122341124303. The reversal of 122341124241 is 142421143221.

122341124241 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 411 + 2 + 4 + 241 = 666.

It is not a de Polignac number, because 122341124241 - 21 = 122341124239 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122341124441) 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 35 ways as a sum of consecutive naturals, for example, 2666901 + ... + 2712386.

It is an arithmetic number, because the mean of its divisors is an integer number (5920802992).

Almost surely, 2122341124241 is an apocalyptic number.

It is an amenable number.

122341124241 is a deficient number, since it is larger than the sum of its proper divisors (90807783471).

122341124241 is a wasteful number, since it uses less digits than its factorization.

122341124241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5379338 (or 5379316 counting only the distinct ones).

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

Adding to 122341124241 its reverse (142421143221), we get a palindrome (264762267462).

The spelling of 122341124241 in words is "one hundred twenty-two billion, three hundred forty-one million, one hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 361 399 1083 1197 2527 3249 7581 22743 5379287 16137861 37655009 48413583 102206453 112965027 306619359 338895081 715445171 919858077 1941922607 2146335513 5825767821 6439006539 13593458249 17477303463 40780374747 122341124241