Search a number
-
+
1320022120300 = 22521323197224101
BaseRepresentation
bin10011001101010111011…
…100110001011101101100
311200012012121111112211021
4103031113130301131230
5133111401130322200
62450224303103524
7164240243615062
oct23152734613554
94605177445737
101320022120300
1146990008a554
121939b48a1ba4
13976292485c0
1447c6478c032
152450bab041a
hex1335773176c

1320022120300 has 144 divisors (see below), whose sum is σ = 3235265554752. Its totient is φ = 463833216000.

The previous prime is 1320022120259. The next prime is 1320022120409. The reversal of 1320022120300 is 30212200231.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5778250 + ... + 6002350.

It is an arithmetic number, because the mean of its divisors is an integer number (22467121908).

Almost surely, 21320022120300 is an apocalyptic number.

1320022120300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320022120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617632777376).

1320022120300 is an abundant number, since it is smaller than the sum of its proper divisors (1915243434452).

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

1320022120300 is a wasteful number, since it uses less digits than its factorization.

1320022120300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224348 (or 224341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1320022120300 its reverse (30212200231), we get a palindrome (1350234320531).

The spelling of 1320022120300 in words is "one trillion, three hundred twenty billion, twenty-two million, one hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 197 230 260 299 325 394 460 575 598 650 788 985 1150 1196 1300 1495 1970 2300 2561 2990 3940 4531 4925 5122 5980 7475 9062 9850 10244 12805 14950 18124 19700 22655 25610 29900 45310 51220 58903 64025 90620 113275 117806 128050 224101 226550 235612 256100 294515 448202 453100 589030 896404 1120505 1178060 1472575 2241010 2913313 2945150 4482020 5154323 5602525 5826626 5890300 10308646 11205050 11653252 14566565 20617292 22410100 25771615 29133130 44147897 51543230 58266260 67006199 72832825 88295794 103086460 128858075 134012398 145665650 176591588 220739485 257716150 268024796 291331300 335030995 441478970 515432300 573922661 670061990 882957940 1015401631 1103697425 1147845322 1340123980 1675154975 2030803262 2207394850 2295690644 2869613305 3350309950 4061606524 4414789700 5077008155 5739226610 6700619900 10154016310 11478453220 13200221203 14348066525 20308032620 25385040775 26400442406 28696133050 50770081550 52800884812 57392266100 66001106015 101540163100 132002212030 264004424060 330005530075 660011060150 1320022120300