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13312300231032 = 233113712891057291
BaseRepresentation
bin1100000110111000001011…
…1011010010100101111000
31202010122101002111000220220
43001232002323102211320
53221102042324343112
644151330350220040
72542532131641645
oct301560273224570
952118332430826
1013312300231032
11427279547a690
1215b001a4b4620
13757462bca82a
143404669b8dcc
1518143bb1d98c
hexc1b82ed2978

13312300231032 has 128 divisors (see below), whose sum is σ = 37316486764800. Its totient is φ = 3921953817600.

The previous prime is 13312300231019. The next prime is 13312300231067. The reversal of 13312300231032 is 23013200321331.

It is a super-2 number, since 2×133123002310322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13312300230993 and 13312300231011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12062307 + ... + 13119597.

It is an arithmetic number, because the mean of its divisors is an integer number (291535052850).

Almost surely, 213312300231032 is an apocalyptic number.

13312300231032 is a gapful number since it is divisible by the number (12) 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 13312300231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18658243382400).

13312300231032 is an abundant number, since it is smaller than the sum of its proper divisors (24004186533768).

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

13312300231032 is a wasteful number, since it uses less digits than its factorization.

13312300231032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058637 (or 1058633 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13312300231032 its reverse (23013200321331), we get a palindrome (36325500552363).

The spelling of 13312300231032 in words is "thirteen trillion, three hundred twelve billion, three hundred million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1289 1628 2442 2578 3256 3867 4884 5156 7734 9768 10312 14179 15468 28358 30936 42537 47693 56716 85074 95386 113432 143079 170148 190772 286158 340296 381544 524623 572316 1049246 1057291 1144632 1573869 2098492 2114582 3147738 3171873 4196984 4229164 6295476 6343746 8458328 11630201 12590952 12687492 23260402 25374984 34890603 39119767 46520804 69781206 78239534 93041608 117359301 139562412 156479068 234718602 279124824 312958136 430317437 469437204 860634874 938874408 1290952311 1362848099 1721269748 2581904622 2725696198 3442539496 4088544297 5163809244 5451392396 8177088594 10327618488 10902784792 14991329089 16354177188 29982658178 32708354376 44973987267 50425379663 59965316356 89947974534 100850759326 119930632712 151276138989 179895949068 201701518652 302552277978 359791898136 403403037304 554679176293 605104555956 1109358352586 1210209111912 1664037528879 2218716705172 3328075057758 4437433410344 6656150115516 13312300231032