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11331103300 = 22521129593599
BaseRepresentation
bin10101000110110001…
…01110101001000100
31002020200110200120121
422203120232221010
5141201230301200
65112212511324
7550536534406
oct124330565104
932220420517
1011331103300
114895126690
12224291b544
1310b76c566a
14796c5cb76
15464b93e1a
hex2a362ea44

11331103300 has 144 divisors (see below), whose sum is σ = 27841968000. Its totient is φ = 3964979200.

The previous prime is 11331103261. The next prime is 11331103307. The reversal of 11331103300 is 330113311.

It is not an unprimeable number, because it can be changed into a prime (11331103307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18916401 + ... + 18916999.

It is an arithmetic number, because the mean of its divisors is an integer number (193347000).

Almost surely, 211331103300 is an apocalyptic number.

11331103300 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 11331103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920984000).

11331103300 is an abundant number, since it is smaller than the sum of its proper divisors (16510864700).

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

11331103300 is a wasteful number, since it uses less digits than its factorization.

11331103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 11331103300 its reverse (330113311), we get a palindrome (11661216611).

The spelling of 11331103300 in words is "eleven billion, three hundred thirty-one million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 550 580 593 599 638 725 1100 1186 1198 1276 1450 1595 2372 2396 2900 2965 2995 3190 5930 5990 6380 6523 6589 7975 11860 11980 13046 13178 14825 14975 15950 17197 17371 26092 26356 29650 29950 31900 32615 32945 34394 34742 59300 59900 65230 65890 68788 69484 85985 86855 130460 131780 163075 164725 171970 173710 189167 191081 326150 329450 343940 347420 355207 378334 382162 429925 434275 652300 658900 710414 756668 764324 859850 868550 945835 955405 1420828 1719700 1737100 1776035 1891670 1910810 3552070 3783340 3821620 3907277 4729175 4777025 7104140 7814554 8880175 9458350 9554050 10301003 15629108 17760350 18916700 19108100 19536385 20602006 35520700 39072770 41204012 51505015 78145540 97681925 103010030 113311033 195363850 206020060 226622066 257525075 390727700 453244132 515050150 566555165 1030100300 1133110330 2266220660 2832775825 5665551650 11331103300