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12232231031100 = 22352712543225829
BaseRepresentation
bin1011001000000000100111…
…0010010001000100111100
31121022101112012201210222110
42302000021302101010330
53100403102120443400
642003224231014020
72401515042136143
oct262001162210474
947271465653873
1012232231031100
113996729583793
12145683150a310
136a965737b8a2
1430408654275a
151632c5cb9e50
hexb2009c9113c

12232231031100 has 144 divisors (see below), whose sum is σ = 35904671953920. Its totient is φ = 3214706745600.

The previous prime is 12232231031039. The next prime is 12232231031117. The reversal of 12232231031100 is 113013223221.

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, 54052986 + ... + 54278814.

It is an arithmetic number, because the mean of its divisors is an integer number (249337999680).

Almost surely, 212232231031100 is an apocalyptic number.

12232231031100 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 12232231031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17952335976960).

12232231031100 is an abundant number, since it is smaller than the sum of its proper divisors (23672440922820).

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

12232231031100 is a wasteful number, since it uses less digits than its factorization.

12232231031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228460 (or 228453 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12232231031100 its reverse (113013223221), we get a palindrome (12345244254321).

The spelling of 12232231031100 in words is "twelve trillion, two hundred thirty-two billion, two hundred thirty-one million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 2543 3550 4260 5086 5325 7100 7629 10172 10650 12715 15258 21300 25430 30516 38145 50860 63575 76290 127150 152580 180553 190725 225829 254300 361106 381450 451658 541659 677487 722212 762900 902765 903316 1083318 1129145 1354974 1805530 2166636 2258290 2708295 2709948 3387435 3611060 4513825 4516580 5416590 5645725 6774870 9027650 10833180 11291450 13541475 13549740 16033859 16937175 18055300 22582900 27082950 32067718 33874350 48101577 54165900 64135436 67748700 80169295 96203154 160338590 192406308 240507885 320677180 400846475 481015770 574283147 801692950 962031540 1148566294 1202539425 1603385900 1722849441 2297132588 2405078850 2871415735 3445698882 4810157700 5742831470 6891397764 8614247205 11485662940 14357078675 17228494410 28714157350 34456988820 40774103437 43071236025 57428314700 81548206874 86142472050 122322310311 163096413748 172284944100 203870517185 244644620622 407741034370 489289241244 611611551555 815482068740 1019352585925 1223223103110 2038705171850 2446446206220 3058057757775 4077410343700 6116115515550 12232231031100