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13033010320 = 2451159283887
BaseRepresentation
bin11000010001101001…
…11111010010010000
31020122021220112002221
430020310333102100
5203142422312240
65553130350424
7640653521431
oct141064772220
936567815087
1013033010320
115588881610
12263888b414
1312c918bc35
148b8cbd488
155142c2a4a
hex308d3f490

13033010320 has 160 divisors (see below), whose sum is σ = 33773552640. Its totient is φ = 4637253120.

The previous prime is 13033010317. The next prime is 13033010363. The reversal of 13033010320 is 2301033031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13033010294 and 13033010303.

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, 14692917 + ... + 14693803.

It is an arithmetic number, because the mean of its divisors is an integer number (211084704).

Almost surely, 213033010320 is an apocalyptic number.

13033010320 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 13033010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16886776320).

13033010320 is an abundant number, since it is smaller than the sum of its proper divisors (20740542320).

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

13033010320 is a wasteful number, since it uses less digits than its factorization.

13033010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13033010320 its reverse (2301033031), we get a palindrome (15334043351).

The spelling of 13033010320 in words is "thirteen billion, thirty-three million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 283 295 440 472 566 590 649 880 887 944 1132 1180 1298 1415 1774 2264 2360 2596 2830 3113 3245 3548 4435 4528 4720 5192 5660 6226 6490 7096 8870 9757 10384 11320 12452 12980 14192 15565 16697 17740 19514 22640 24904 25960 31130 33394 35480 39028 48785 49808 51920 52333 62260 66788 70960 78056 83485 97570 104666 124520 133576 156112 166970 183667 195140 209332 249040 251021 261665 267152 333940 367334 390280 418664 502042 523330 575663 667880 734668 780560 837328 918335 1004084 1046660 1151326 1255105 1335760 1469336 1836670 2008168 2093320 2302652 2510210 2761231 2878315 2938672 3673340 4016336 4186640 4605304 5020420 5522462 5756630 7346680 9210608 10040840 11044924 11513260 13806155 14693360 14810239 20081680 22089848 23026520 27612310 29620478 44179696 46053040 55224620 59240956 74051195 110449240 118481912 148102390 162912629 220898480 236963824 296204780 325825258 592409560 651650516 814563145 1184819120 1303301032 1629126290 2606602064 3258252580 6516505160 13033010320