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232100434242441 = 3236013716100773
BaseRepresentation
bin110100110001100000010111…
…111011110110101110001001
31010102210120210022220210220200
4310301200113323312232021
5220410213142131224231
62141345244552042413
766613463062340412
oct6461402773665611
91112716708823820
10232100434242441
1167a55272314036
1222046751993409
139c67c917124cb
144145a1443a809
151bc76e9259be6
hexd31817ef6b89

232100434242441 has 12 divisors (see below), whose sum is σ = 335265492572868. Its totient is φ = 154729326007584.

The previous prime is 232100434242421. The next prime is 232100434242449. The reversal of 232100434242441 is 144242434001232.

232100434242441 is a `hidden beast` number, since 2 + 3 + 210 + 0 + 434 + 2 + 4 + 2 + 4 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 136842268161600 + 95258166080841 = 11697960^2 + 9760029^2 .

It is not a de Polignac number, because 232100434242441 - 247 = 91362945887113 is a prime.

It is a super-2 number, since 2×2321004342424412 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 232100434242396 and 232100434242405.

It is not an unprimeable number, because it can be changed into a prime (232100434242449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357726270 + ... + 358374503.

It is an arithmetic number, because the mean of its divisors is an integer number (27938791047739).

Almost surely, 2232100434242441 is an apocalyptic number.

It is an amenable number.

232100434242441 is a deficient number, since it is larger than the sum of its proper divisors (103165058330427).

232100434242441 is a wasteful number, since it uses less digits than its factorization.

232100434242441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716136792 (or 716136789 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 232100434242441 its reverse (144242434001232), we get a palindrome (376342868243673).

The spelling of 232100434242441 in words is "two hundred thirty-two trillion, one hundred billion, four hundred thirty-four million, two hundred forty-two thousand, four hundred forty-one".

Divisors: 1 3 9 36013 108039 324117 716100773 2148302319 6444906957 25788937138049 77366811414147 232100434242441