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123131322441 = 3243633313553
BaseRepresentation
bin111001010101100110…
…0101110000001001001
3102202211020022021100200
41302223030232001021
54004133104304231
6132322111322413
711616210654231
oct1625314560111
9382736267320
10123131322441
1148246470006
121ba44520409
13b7c3b5b29a
145d61174cc1
153309d39be6
hex1cab32e049

123131322441 has 12 divisors (see below), whose sum is σ = 177860998068. Its totient is φ = 82085405184.

The previous prime is 123131322421. The next prime is 123131322451. The reversal of 123131322441 is 144223131321.

123131322441 is a `hidden beast` number, since 123 + 1 + 313 + 224 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112910112441 + 10221210000 = 336021^2 + 101100^2 .

It is not a de Polignac number, because 123131322441 - 27 = 123131322313 is a prime.

It is a super-2 number, since 2×1231313224412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123131322421) 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 11 ways as a sum of consecutive naturals, for example, 235921 + ... + 549473.

It is an arithmetic number, because the mean of its divisors is an integer number (14821749839).

Almost surely, 2123131322441 is an apocalyptic number.

It is an amenable number.

123131322441 is a deficient number, since it is larger than the sum of its proper divisors (54729675627).

123131322441 is a wasteful number, since it uses less digits than its factorization.

123131322441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357192 (or 357189 counting only the distinct ones).

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

Adding to 123131322441 its reverse (144223131321), we get a palindrome (267354453762).

The spelling of 123131322441 in words is "one hundred twenty-three billion, one hundred thirty-one million, three hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 9 43633 130899 313553 392697 940659 2821977 13681258049 41043774147 123131322441