Search a number
-
+
122241221433 = 3271981123293
BaseRepresentation
bin111000111011000100…
…1010000001100111001
3102200112012102110022200
41301312021100030321
54000322223041213
6132053513340413
711555152144452
oct1616611201471
9380465373280
10122241221433
1147929a89a41
121b836407709
13b6b161c4b6
145cb8c74129
1532a6b16273
hex1c76250339

122241221433 has 24 divisors (see below), whose sum is σ = 177041854080. Its totient is φ = 81276968160.

The previous prime is 122241221387. The next prime is 122241221437. The reversal of 122241221433 is 334122142221.

122241221433 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 1 + 221 + 433 = 666.

It is not a de Polignac number, because 122241221433 - 221 = 122239124281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122241221397 and 122241221406.

It is not an unprimeable number, because it can be changed into a prime (122241221437) 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 23 ways as a sum of consecutive naturals, for example, 5236335 + ... + 5259627.

It is an arithmetic number, because the mean of its divisors is an integer number (7376743920).

Almost surely, 2122241221433 is an apocalyptic number.

It is an amenable number.

122241221433 is a deficient number, since it is larger than the sum of its proper divisors (54800632647).

122241221433 is a wasteful number, since it uses less digits than its factorization.

122241221433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24829 (or 24826 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122241221433 its reverse (334122142221), we get a palindrome (456363363654).

The spelling of 122241221433 in words is "one hundred twenty-two billion, two hundred forty-one million, two hundred twenty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 719 811 2157 2433 6471 7299 23293 69879 209637 583109 1749327 5247981 16747667 18890623 50243001 56671869 150729003 170015607 13582357937 40747073811 122241221433