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13130243331024 = 2435359440919841
BaseRepresentation
bin1011111100010001111101…
…1111010101001111010000
31201111020110020022021022110
42333010133133111033100
53210111214243043044
643531541151105320
72523425445553551
oct277043737251720
951436406267273
1013130243331024
114202561068046
12158088bb12240
1374323b0a8cb1
14335715952328
1517b833a636b9
hexbf11f7d53d0

13130243331024 has 160 divisors (see below), whose sum is σ = 35155293667200. Its totient is φ = 4220214968320.

The previous prime is 13130243331017. The next prime is 13130243331041. The reversal of 13130243331024 is 42013334203131.

It is a junction number, because it is equal to n+sod(n) for n = 13130243330982 and 13130243331000.

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, 661763344 + ... + 661783184.

It is an arithmetic number, because the mean of its divisors is an integer number (219720585420).

Almost surely, 213130243331024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130243331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577646833600).

13130243331024 is an abundant number, since it is smaller than the sum of its proper divisors (22025050336176).

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

13130243331024 is a wasteful number, since it uses less digits than its factorization.

13130243331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24373 (or 24367 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 13130243331024 its reverse (42013334203131), we get a palindrome (55143577534155).

The spelling of 13130243331024 in words is "thirteen trillion, one hundred thirty billion, two hundred forty-three million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 59 106 118 159 177 212 236 318 354 424 472 636 708 848 944 1272 1416 2544 2832 3127 4409 6254 8818 9381 12508 13227 17636 18762 19841 25016 26454 35272 37524 39682 50032 52908 59523 70544 75048 79364 105816 119046 150096 158728 211632 233677 238092 260131 317456 467354 476184 520262 701031 780393 934708 952368 1040524 1051573 1170619 1402062 1560786 1869416 2081048 2103146 2341238 2804124 3121572 3154719 3511857 3738832 4162096 4206292 4682476 5608248 6243144 6309438 7023714 8412584 9364952 11216496 12486288 12618876 13786943 14047428 16825168 18729904 25237752 27573886 28094856 41360829 50475504 55147772 56189712 62042807 82721658 87478969 110295544 124085614 165443316 174957938 186128421 220591088 248171228 262436907 330886632 349915876 372256842 496342456 524873814 661773264 699831752 744513684 992684912 1049747628 1399663504 1489027368 2099495256 2978054736 4198990512 4636385357 5161259171 9272770714 10322518342 13909156071 15483777513 18545541428 20645036684 27818312142 30967555026 37091082856 41290073368 55636624284 61935110052 74182165712 82580146736 111273248568 123870220104 222546497136 247740440208 273546736063 547093472126 820640208189 1094186944252 1641280416378 2188373888504 3282560832756 4376747777008 6565121665512 13130243331024