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121433013441 = 3265812050229
BaseRepresentation
bin111000100010111111…
…0001011110011000001
3102121102212122020101100
41301011332023303001
53442143322412231
6131441402525013
711526136404105
oct1610576136301
9377385566340
10121433013441
1147554852353
121b64b806769
13b5b305460c
145c3d7ad905
15325abbc1e6
hex1c45f8bcc1

121433013441 has 12 divisors (see below), whose sum is σ = 175429980180. Its totient is φ = 80943001440.

The previous prime is 121433013433. The next prime is 121433013491. The reversal of 121433013441 is 144310334121.

121433013441 is a `hidden beast` number, since 1 + 2 + 14 + 3 + 301 + 344 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84867925041 + 36565088400 = 291321^2 + 191220^2 .

It is not a de Polignac number, because 121433013441 - 23 = 121433013433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121433013421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965886 + ... + 1084343.

It is an arithmetic number, because the mean of its divisors is an integer number (14619165015).

Almost surely, 2121433013441 is an apocalyptic number.

It is an amenable number.

121433013441 is a deficient number, since it is larger than the sum of its proper divisors (53996966739).

121433013441 is a wasteful number, since it uses less digits than its factorization.

121433013441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056816 (or 2056813 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 121433013441 its reverse (144310334121), we get a palindrome (265743347562).

The spelling of 121433013441 in words is "one hundred twenty-one billion, four hundred thirty-three million, thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 6581 19743 59229 2050229 6150687 18452061 13492557049 40477671147 121433013441