Search a number
-
+
13313213133300 = 22335247104911057
BaseRepresentation
bin1100000110111011100101…
…0101101111000111110100
31202010201201201021021102000
43001232321111233013310
53221110430030231200
644152001121015300
72542563555325413
oct301567125570764
952121651237360
1013313213133300
114273113814673
1215b0234184530
1375757a090aa2
14340511d3347a
15181491d48300
hexc1bb956f1f4

13313213133300 has 144 divisors (see below), whose sum is σ = 43710143205120. Its totient is φ = 3474654174720.

The previous prime is 13313213133271. The next prime is 13313213133313. The reversal of 13313213133300 is 333131231331.

13313213133300 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 3 + 1 + 3 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52328629 + ... + 52582428.

Almost surely, 213313213133300 is an apocalyptic number.

13313213133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313213133300 is an abundant number, since it is smaller than the sum of its proper divisors (30396930071820).

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

13313213133300 is a wasteful number, since it uses less digits than its factorization.

13313213133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104911127 (or 104911114 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 13313213133300 its reverse (333131231331), we get a palindrome (13646344364631).

The spelling of 13313213133300 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, one hundred thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 47 50 54 60 75 90 94 100 108 135 141 150 180 188 225 235 270 282 300 423 450 470 540 564 675 705 846 900 940 1175 1269 1350 1410 1692 2115 2350 2538 2700 2820 3525 4230 4700 5076 6345 7050 8460 10575 12690 14100 21150 25380 31725 42300 63450 126900 104911057 209822114 314733171 419644228 524555285 629466342 944199513 1049110570 1258932684 1573665855 1888399026 2098221140 2622776425 2832598539 3147331710 3776798052 4720997565 4930819679 5245552850 5665197078 6294663420 7868329275 9441995130 9861639358 10491105700 11330394156 14162992695 14792459037 15736658550 18883990260 19723278716 23604987825 24654098395 28325985390 29584918074 31473317100 44377377111 47209975650 49308196790 56651970780 59169836148 70814963475 73962295185 88754754222 94419951300 98616393580 123270491975 133132131333 141629926950 147924590370 177509508444 221886885555 246540983950 266264262666 283259853900 295849180740 369811475925 443773771110 493081967900 532528525332 665660656665 739622951850 887547542220 1109434427775 1331321313330 1479245903700 2218868855550 2662642626660 3328303283325 4437737711100 6656606566650 13313213133300