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320004111254031 = 321923336209221813
BaseRepresentation
bin100100011000010101100001…
…1011000001100001000001111
31112222001002112201110102210200
41020300223003120030020033
5313420421404440112111
63052331505332504543
7124255351122552231
oct11060530330141017
91488032481412720
10320004111254031
1192a65a88349566
122ba82b3547b153
1310973348391339
1459043d2ac8251
1526ee0945e4256
hex1230ac360c20f

320004111254031 has 48 divisors (see below), whose sum is σ = 488659879749600. Its totient is φ = 201233979058176.

The previous prime is 320004111253999. The next prime is 320004111254077. The reversal of 320004111254031 is 130452111400023.

320004111254031 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 0 + 4 + 1 + 112 + 540 + 3 + 1 = 666.

It is not a de Polignac number, because 320004111254031 - 25 = 320004111253999 is a prime.

It is a super-2 number, since 2×3200041112540312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320004111253986 and 320004111254004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320004111254081) 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 47 ways as a sum of consecutive naturals, for example, 1442564281 + ... + 1442786093.

It is an arithmetic number, because the mean of its divisors is an integer number (10180414161450).

Almost surely, 2320004111254031 is an apocalyptic number.

320004111254031 is a deficient number, since it is larger than the sum of its proper divisors (168655768495569).

320004111254031 is a wasteful number, since it uses less digits than its factorization.

320004111254031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258280 (or 258277 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 320004111254031 its reverse (130452111400023), we get a palindrome (450456222654054).

The spelling of 320004111254031 in words is "three hundred twenty trillion, four billion, one hundred eleven million, two hundred fifty-four thousand, thirty-one".

Divisors: 1 3 9 19 57 171 233 699 2097 4427 13281 36209 39843 108627 221813 325881 665439 687971 1996317 2063913 4214447 6191739 8436697 12643341 25310091 37930023 51682429 75930273 155047287 160297243 465141861 480891729 981966151 1442675187 2945898453 8031626917 8837695359 24094880751 72284642253 152600911423 457802734269 1373408202807 1871369071661 5614107214983 16842321644949 35556012361559 106668037084677 320004111254031