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323223102011130 = 235235992656129443
BaseRepresentation
bin100100101111110000011111…
…0001011011011011011111010
31120101102211022201110211000020
41021133200332023123123322
5314331141403103324010
63103234350532151310
7125040045532542156
oct11137407613333372
91511384281424006
10323223102011130
1193a97169749312
1230302976a68536
1310b47a66792a89
1459b611dd12066
152757b9461d470
hex125f83e2db6fa

323223102011130 has 128 divisors (see below), whose sum is σ = 810872496230400. Its totient is φ = 82301780520960.

The previous prime is 323223102011129. The next prime is 323223102011143. The reversal of 323223102011130 is 31110201322323.

It is a self number, because there is not a number n which added to its sum of digits gives 323223102011130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10977912189 + ... + 10977941631.

It is an arithmetic number, because the mean of its divisors is an integer number (6334941376800).

Almost surely, 2323223102011130 is an apocalyptic number.

323223102011130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 323223102011130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405436248115200).

323223102011130 is an abundant number, since it is smaller than the sum of its proper divisors (487649394219270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323223102011130 is a wasteful number, since it uses less digits than its factorization.

323223102011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56636.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 323223102011130 its reverse (31110201322323), we get a palindrome (354333303333453).

The spelling of 323223102011130 in words is "three hundred twenty-three trillion, two hundred twenty-three billion, one hundred two million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 599 690 1198 1797 2995 3594 5990 8985 13777 17970 26561 27554 29443 41331 53122 58886 68885 79683 82662 88329 132805 137770 147215 159366 176658 206655 265610 294430 398415 413310 441645 610903 677189 796830 883290 1221806 1354378 1832709 2031567 3054515 3385945 3665418 4063134 6109030 6771890 9163545 10157835 15910039 17636357 18327090 20315670 31820078 35272714 47730117 52909071 79550195 88181785 95460234 105818142 159100390 176363570 238650585 264545355 365930897 405636211 477301170 529090710 731861794 782035523 811272422 1097792691 1216908633 1564071046 1829654485 2028181055 2195585382 2346106569 2433817266 3659308970 3910177615 4056362110 4692213138 5488963455 6084543165 7820355230 10977926910 11730532845 12169086330 17986817029 23461065690 35973634058 53960451087 89934085145 107920902174 179868170290 269802255435 468439278277 539604510870 936878556554 1405317834831 2342196391385 2810635669662 4684392782770 7026589174155 10774103400371 14053178348310 21548206800742 32322310201113 53870517001855 64644620402226 107741034003710 161611551005565 323223102011130