Search a number
-
+
13320303120 = 243356839029
BaseRepresentation
bin11000110011111001…
…11011001000010000
31021101022111111202000
430121330323020100
5204234444144440
610041432154000
7651042464655
oct143174731020
937338444660
1013320303120
115715a66983
1226b8b38900
13134385ab87
14905105c2c
1552e621730
hex319f3b210

13320303120 has 160 divisors (see below), whose sum is σ = 45953308800. Its totient is φ = 3546487296.

The previous prime is 13320303083. The next prime is 13320303133. The reversal of 13320303120 is 2130302331.

13320303120 is a `hidden beast` number, since 1 + 3 + 320 + 30 + 312 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13320303093 and 13320303102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470766 + ... + 1479794.

It is an arithmetic number, because the mean of its divisors is an integer number (287208180).

Almost surely, 213320303120 is an apocalyptic number.

13320303120 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 13320303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22976654400).

13320303120 is an abundant number, since it is smaller than the sum of its proper divisors (32633005680).

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

13320303120 is a wasteful number, since it uses less digits than its factorization.

13320303120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9734 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13320303120 its reverse (2130302331), we get a palindrome (15450605451).

The spelling of 13320303120 in words is "thirteen billion, three hundred twenty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 683 720 1080 1366 2049 2160 2732 3415 4098 5464 6147 6830 8196 9029 10245 10928 12294 13660 16392 18058 18441 20490 24588 27087 27320 30735 32784 36116 36882 40980 45145 49176 54174 54640 61470 72232 73764 81261 81960 90290 92205 98352 108348 122940 135435 144464 147528 162522 163920 180580 184410 216696 243783 245880 270870 295056 325044 361160 368820 406305 433392 487566 491760 541740 650088 722320 737640 812610 975132 1083480 1218915 1300176 1475280 1625220 1950264 2166960 2437830 3250440 3900528 4875660 6166807 6500880 9751320 12333614 18500421 19502640 24667228 30834035 37000842 49334456 55501263 61668070 74001684 92502105 98668912 111002526 123336140 148003368 166503789 185004210 222005052 246672280 277506315 296006736 333007578 370008420 444010104 493344560 555012630 666015156 740016840 832518945 888020208 1110025260 1332030312 1480033680 1665037890 2220050520 2664060624 3330075780 4440101040 6660151560 13320303120