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323112320003133 = 357119979378013
BaseRepresentation
bin100100101110111100111001…
…1000011100110110000111101
31120101001020101010120201100000
41021131321303003212300331
5314322333012410100013
63103111430045224513
7125026044334162053
oct11135716303466075
91511036333521300
10323112320003133
1193a54190137001
12302a53ba262139
1310b3a49027245b
1459b0a10d281d3
152754d5da54973
hex125de730e6c3d

323112320003133 has 48 divisors (see below), whose sum is σ = 491066423842176. Its totient is φ = 212267925535680.

The previous prime is 323112320003111. The next prime is 323112320003149. The reversal of 323112320003133 is 331300023211323.

323112320003133 is a `hidden beast` number, since 3 + 2 + 311 + 2 + 32 + 0 + 0 + 0 + 313 + 3 = 666.

It is not a de Polignac number, because 323112320003133 - 25 = 323112320003101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 323112320003097 and 323112320003106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323112320203133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29765235 + ... + 39143247.

It is an arithmetic number, because the mean of its divisors is an integer number (10230550496712).

Almost surely, 2323112320003133 is an apocalyptic number.

It is an amenable number.

323112320003133 is a deficient number, since it is larger than the sum of its proper divisors (167954103839043).

323112320003133 is an equidigital number, since it uses as much as digits as its factorization.

323112320003133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9380096 (or 9380084 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 323112320003133 its reverse (331300023211323), we get a palindrome (654412343214456).

The spelling of 323112320003133 in words is "three hundred twenty-three trillion, one hundred twelve billion, three hundred twenty million, three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 71 81 213 243 639 1917 1997 5751 5991 17253 17973 53919 141787 161757 425361 485271 1276083 3828249 9378013 11484747 28134039 34454241 84402117 253206351 665838923 759619053 1997516769 2278857159 5992550307 17977650921 18727891961 53932952763 56183675883 161798858289 168551027649 505653082947 1329680329231 1516959248841 3989040987693 4550877746523 11967122963079 35901368889237 107704106667711 323112320003133