Search a number
-
+
323313101000 = 235319152311173
BaseRepresentation
bin1001011010001101111…
…01100110100011001000
31010220112020122021011022
410231012331212203020
520244121123213000
6404310013452012
732234000005001
oct4550675464310
91126466567138
10323313101000
111151308a911a
12527b0aa1008
1324646a24a26
14119114541a8
158624219585
hex4b46f668c8

323313101000 has 128 divisors (see below), whose sum is σ = 796965436800. Its totient is φ = 122427244800.

The previous prime is 323313100993. The next prime is 323313101039. The reversal of 323313101000 is 101313323.

It is a super-2 number, since 2×3233131010002 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 323313101000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28931414 + ... + 28942586.

It is an arithmetic number, because the mean of its divisors is an integer number (6226292475).

Almost surely, 2323313101000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323313101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398482718400).

323313101000 is an abundant number, since it is smaller than the sum of its proper divisors (473652335800).

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

323313101000 is a wasteful number, since it uses less digits than its factorization.

323313101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12736 (or 12722 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 323313101000 its reverse (101313323), we get a palindrome (323414414323).

The spelling of 323313101000 in words is "three hundred twenty-three billion, three hundred thirteen million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1523 1900 2375 3046 3800 4750 6092 7615 9500 11173 12184 15230 19000 22346 28937 30460 38075 44692 55865 57874 60920 76150 89384 111730 115748 144685 152300 190375 212287 223460 231496 279325 289370 304600 380750 424574 446920 558650 578740 723425 761500 849148 1061435 1117300 1157480 1396625 1446850 1523000 1698296 2122870 2234600 2793250 2893700 3617125 4245740 5307175 5586500 5787400 7234250 8491480 10614350 11173000 14468500 17016479 21228700 26535875 28937000 34032958 42457400 53071750 68065916 85082395 106143500 136131832 170164790 212287000 323313101 340329580 425411975 646626202 680659160 850823950 1293252404 1616565505 1701647900 2127059875 2586504808 3233131010 3403295800 4254119750 6466262020 8082827525 8508239500 12932524040 16165655050 17016479000 32331310100 40414137625 64662620200 80828275250 161656550500 323313101000