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11133012323300 = 22527163379257447
BaseRepresentation
bin1010001000000001101100…
…1111101010101111100100
31110102022020202210210122212
42202000123033222233210
52424400402123321200
635402234003142552
72226222265240340
oct242003317525744
943368222723585
1011133012323300
11360253624612a
1212b979b374a58
13629ab94062ba
142a6baab34620
151448ddbe8035
hexa201b3eabe4

11133012323300 has 144 divisors (see below), whose sum is σ = 27852660648960. Its totient is φ = 3783591181440.

The previous prime is 11133012323287. The next prime is 11133012323341. The reversal of 11133012323300 is 332321033111.

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, 43115177 + ... + 43372623.

Almost surely, 211133012323300 is an apocalyptic number.

11133012323300 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 11133012323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13926330324480).

11133012323300 is an abundant number, since it is smaller than the sum of its proper divisors (16719648325660).

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

11133012323300 is a wasteful number, since it uses less digits than its factorization.

11133012323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258010 (or 258003 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 11133012323300 its reverse (332321033111), we get a palindrome (11465333356411).

The spelling of 11133012323300 in words is "eleven trillion, one hundred thirty-three billion, twelve million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 163 175 326 350 379 652 700 758 815 1141 1516 1630 1895 2282 2653 3260 3790 4075 4564 5306 5705 7580 8150 9475 10612 11410 13265 16300 18950 22820 26530 28525 37900 53060 57050 61777 66325 114100 123554 132650 247108 257447 265300 308885 432439 514894 617770 864878 1029788 1235540 1287235 1544425 1729756 1802129 2162195 2574470 3088850 3604258 4324390 5148940 6177700 6436175 7208516 8648780 9010645 10810975 12872350 18021290 21621950 25744700 36042580 41963861 43243900 45053225 83927722 90106450 97572413 167855444 180212900 195144826 209819305 293747027 390289652 419638610 487862065 587494054 683006891 839277220 975724130 1049096525 1174988108 1366013782 1468735135 1951448260 2098193050 2439310325 2732027564 2937470270 3415034455 4196386100 4878620650 5874940540 6830068910 7343675675 9757241300 13660137820 14687351350 15904303319 17075172275 29374702700 31808606638 34150344550 63617213276 68300689100 79521516595 111330123233 159043033190 222660246466 318086066380 397607582975 445320492932 556650616165 795215165950 1113301232330 1590430331900 2226602464660 2783253080825 5566506161650 11133012323300