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13003131320000 = 26542341138863
BaseRepresentation
bin1011110100111000011100…
…0001011111011011000000
31201001002100120122001210022
42331032013001133123000
53201020403104220000
643353320035353012
72511305500363253
oct275160701373300
951032316561708
1013003131320000
114163662703868
121560116452768
1373426162b1a3
1432d4d7c5309a
1517839451a585
hexbd38705f6c0

13003131320000 has 140 divisors (see below), whose sum is σ = 32257545356256. Its totient is φ = 5198993280000.

The previous prime is 13003131319979. The next prime is 13003131320117. The reversal of 13003131320000 is 2313130031.

13003131320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93570569 + ... + 93709431.

Almost surely, 213003131320000 is an apocalyptic number.

13003131320000 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 13003131320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128772678128).

13003131320000 is an abundant number, since it is smaller than the sum of its proper divisors (19254414036256).

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

13003131320000 is an equidigital number, since it uses as much as digits as its factorization.

13003131320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141236 (or 141211 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13003131320000 its reverse (2313130031), we get a palindrome (13005444450031).

The spelling of 13003131320000 in words is "thirteen trillion, three billion, one hundred thirty-one million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2341 2500 4000 4682 5000 8000 9364 10000 11705 18728 20000 23410 37456 40000 46820 58525 74912 93640 117050 138863 149824 187280 234100 277726 292625 374560 468200 555452 585250 694315 749120 936400 1110904 1170500 1388630 1463125 1872800 2221808 2341000 2777260 2926250 3471575 3745600 4443616 4682000 5554520 5852500 6943150 8887232 9364000 11109040 11705000 13886300 17357875 18728000 22218080 23410000 27772600 34715750 44436160 46820000 55545200 69431500 86789375 93640000 111090400 138863000 173578750 222180800 277726000 325078283 347157500 555452000 650156566 694315000 1110904000 1300313132 1388630000 1625391415 2600626264 2777260000 3250782830 5201252528 5554520000 6501565660 8126957075 10402505056 13003131320 16253914150 20805010112 26006262640 32507828300 40634785375 52012525280 65015656600 81269570750 104025050560 130031313200 162539141500 203173926875 260062626400 325078283000 406347853750 520125252800 650156566000 812695707500 1300313132000 1625391415000 2600626264000 3250782830000 6501565660000 13003131320000