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323431010120241 = 32215316691490433
BaseRepresentation
bin100100110001010001010011…
…0011101111011001000110001
31120102011200222012021001210200
41021202202212131323020301
5314343043202042321431
63103514053240345413
7125061055640366652
oct11142424635731061
91512150865231720
10323431010120241
1194067359424981
123033711aa75269
1310b6154b29054a
1459c22043bb529
15275d2b1e8aee6
hex12628a677b231

323431010120241 has 12 divisors (see below), whose sum is σ = 467395115132868. Its totient is φ = 215520524457984.

The previous prime is 323431010120167. The next prime is 323431010120297. The reversal of 323431010120241 is 142021010134323.

323431010120241 is a `hidden beast` number, since 3 + 2 + 3 + 4 + 310 + 101 + 2 + 0 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18889106745600 + 304541903374641 = 4346160^2 + 17451129^2 .

It is not a de Polignac number, because 323431010120241 - 221 = 323431008023089 is a prime.

It is a super-2 number, since 2×3234310101202412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (323431010120341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8345725840 + ... + 8345764593.

It is an arithmetic number, because the mean of its divisors is an integer number (38949592927739).

Almost surely, 2323431010120241 is an apocalyptic number.

It is an amenable number.

323431010120241 is a deficient number, since it is larger than the sum of its proper divisors (143964105012627).

323431010120241 is a wasteful number, since it uses less digits than its factorization.

323431010120241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16691492592 (or 16691492589 counting only the distinct ones).

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

Adding to 323431010120241 its reverse (142021010134323), we get a palindrome (465452020254564).

The spelling of 323431010120241 in words is "three hundred twenty-three trillion, four hundred thirty-one billion, ten million, one hundred twenty thousand, two hundred forty-one".

Divisors: 1 3 9 2153 6459 19377 16691490433 50074471299 150223413897 35936778902249 107810336706747 323431010120241