Search a number
-
+
13303233023200 = 255271293979691
BaseRepresentation
bin1100000110010110011001…
…1110101000110011100000
31202002202222011221011002121
43001211212132220303200
53220430010123220300
644143230524354024
72542061341643461
oct301454636506340
952082864834077
1013303233023200
11426996225519a
1215aa3099a5914
137566495488b3
1433dc466aad68
151810aaab881a
hexc19667a8ce0

13303233023200 has 144 divisors (see below), whose sum is σ = 32945552599680. Its totient is φ = 5244494528000.

The previous prime is 13303233023191. The next prime is 13303233023243. The reversal of 13303233023200 is 232033230331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166895355 + ... + 166975045.

It is an arithmetic number, because the mean of its divisors is an integer number (228788559720).

Almost surely, 213303233023200 is an apocalyptic number.

13303233023200 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 13303233023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472776299840).

13303233023200 is an abundant number, since it is smaller than the sum of its proper divisors (19642319576480).

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

13303233023200 is a wasteful number, since it uses less digits than its factorization.

13303233023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82721 (or 82708 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 13303233023200 its reverse (232033230331), we get a palindrome (13535266253531).

The spelling of 13303233023200 in words is "thirteen trillion, three hundred three billion, two hundred thirty-three million, twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 142 160 200 284 355 400 568 710 800 1136 1420 1775 2272 2840 2939 3550 5680 5878 7100 11360 11756 14200 14695 23512 28400 29390 47024 56800 58780 73475 79691 94048 117560 146950 159382 208669 235120 293900 318764 398455 417338 470240 587800 637528 796910 834676 1043345 1175600 1275056 1593820 1669352 1992275 2086690 2351200 2550112 3187640 3338704 3984550 4173380 5216725 5658061 6375280 6677408 7969100 8346760 10433450 11316122 12750560 15938200 16693520 20866900 22632244 28290305 31876400 33387040 41733800 45264488 56580610 63752800 83467600 90528976 113161220 141451525 166935200 181057952 226322440 234211849 282903050 452644880 468423698 565806100 905289760 936847396 1131612200 1171059245 1873694792 2263224400 2342118490 3747389584 4526448800 4684236980 5855296225 7494779168 9368473960 11710592450 16629041279 18736947920 23421184900 33258082558 37473895840 46842369800 66516165116 83145206395 93684739600 133032330232 166290412790 187369479200 266064660464 332580825580 415726031975 532129320928 665161651160 831452063950 1330323302320 1662904127900 2660646604640 3325808255800 6651616511600 13303233023200