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12313021300300 = 22527733128918617
BaseRepresentation
bin1011001100101101100101…
…0000101011111001001100
31121121010001121212201112001
42303023121100223321030
53103214031423102200
642104305054522044
72410405101115450
oct263133120537114
947533047781461
1012313021300300
113a17a17584806
12146a419b06324
136b416113a3c6
14307d4c232660
1516545383c76a
hexb32d942be4c

12313021300300 has 144 divisors (see below), whose sum is σ = 30603318137280. Its totient is φ = 4212351037440.

The previous prime is 12313021300297. The next prime is 12313021300313. The reversal of 12313021300300 is 300312031321.

12313021300300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123130213003002 (a number of 27 digits) contains 22 as substring.

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, 661376592 + ... + 661395208.

It is an arithmetic number, because the mean of its divisors is an integer number (212523042620).

Almost surely, 212313021300300 is an apocalyptic number.

12313021300300 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 12313021300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15301659068640).

12313021300300 is an abundant number, since it is smaller than the sum of its proper divisors (18290296836980).

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

12313021300300 is a wasteful number, since it uses less digits than its factorization.

12313021300300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20660 (or 20653 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 12313021300300 its reverse (300312031321), we get a palindrome (12613333331621).

The spelling of 12313021300300 in words is "twelve trillion, three hundred thirteen billion, twenty-one million, three hundred thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 733 1289 1466 2578 2932 3665 5131 5156 6445 7330 9023 10262 12890 14660 18046 18325 18617 20524 25655 25780 32225 36092 36650 37234 45115 51310 64450 73300 74468 90230 93085 102620 128275 128900 130319 180460 186170 225575 256550 260638 372340 451150 465425 513100 521276 651595 902300 930850 944837 1303190 1861700 1889674 2606380 3257975 3779348 4724185 6515950 6613859 9448370 13031900 13227718 13646261 18896740 23620925 23997313 26455436 27292522 33069295 47241850 47994626 54585044 66138590 68231305 94483700 95523827 95989252 119986565 132277180 136462610 165346475 167981191 191047654 239973130 272925220 330692950 335962382 341156525 382095308 477619135 479946260 599932825 661385900 671924764 682313050 839905955 955238270 1199865650 1364626100 1679811910 1910476540 2388095675 2399731300 3359623820 4199529775 4776191350 8399059550 9552382700 16798119100 17590030429 35180060858 70360121716 87950152145 123130213003 175900304290 246260426006 351800608580 439750760725 492520852012 615651065015 879501521450 1231302130030 1759003042900 2462604260060 3078255325075 6156510650150 12313021300300