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13031002320 = 2435710971161
BaseRepresentation
bin11000010001011010…
…10101000011010000
31020122011010111122120
430020231111003100
5203141414033240
65553015334240
7640630456260
oct141055250320
936564114576
1013031002320
11558772aa06
122638081380
1312c8937c7b
148b89197a0
15514027ad0
hex308b550d0

13031002320 has 160 divisors (see below), whose sum is σ = 46591184640. Its totient is φ = 2951147520.

The previous prime is 13031002307. The next prime is 13031002321. The reversal of 13031002320 is 2320013031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13031002320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031002321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147540 + ... + 218700.

It is an arithmetic number, because the mean of its divisors is an integer number (291194904).

Almost surely, 213031002320 is an apocalyptic number.

13031002320 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 13031002320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295592320).

13031002320 is an abundant number, since it is smaller than the sum of its proper divisors (33560182320).

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

13031002320 is a wasteful number, since it uses less digits than its factorization.

13031002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71293 (or 71287 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13031002320 its reverse (2320013031), we get a palindrome (15351015351).

The spelling of 13031002320 in words is "thirteen billion, thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 109 112 120 140 168 210 218 240 280 327 336 420 436 545 560 654 763 840 872 1090 1308 1526 1635 1680 1744 2180 2289 2616 3052 3270 3815 4360 4578 5232 6104 6540 7630 8720 9156 11445 12208 13080 15260 18312 22890 26160 30520 36624 45780 61040 71161 91560 142322 183120 213483 284644 355805 426966 498127 569288 711610 853932 996254 1067415 1138576 1423220 1494381 1707864 1992508 2134830 2490635 2846440 2988762 3415728 3985016 4269660 4981270 5692880 5977524 7471905 7756549 7970032 8539320 9962540 11955048 14943810 15513098 17078640 19925080 23269647 23910096 29887620 31026196 38782745 39850160 46539294 54295843 59775240 62052392 77565490 93078588 108591686 116348235 119550480 124104784 155130980 162887529 186157176 217183372 232696470 271479215 310261960 325775058 372314352 434366744 465392940 542958430 620523920 651550116 814437645 868733488 930785880 1085916860 1303100232 1628875290 1861571760 2171833720 2606200464 3257750580 4343667440 6515501160 13031002320