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2001313860 = 2235721352363
BaseRepresentation
bin111011101001001…
…1010000001000100
312011110211021111120
41313102122001010
513044314020420
6530331033540
7100410613200
oct16722320104
95143737446
102001313860
119377647a7
1247a29b8b0
1325b8173b0
1414db1bb00
15baa71d40
hex7749a044

2001313860 has 144 divisors (see below), whose sum is σ = 7020127296. Its totient is φ = 422247168.

The previous prime is 2001313859. The next prime is 2001313861. The reversal of 2001313860 is 683131002.

It is an interprime number because it is at equal distance from previous prime (2001313859) and next prime (2001313861).

It is a self number, because there is not a number n which added to its sum of digits gives 2001313860.

It is not an unprimeable number, because it can be changed into a prime (2001313861) 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 47 ways as a sum of consecutive naturals, for example, 12039 + ... + 64401.

It is an arithmetic number, because the mean of its divisors is an integer number (48750884).

Almost surely, 22001313860 is an apocalyptic number.

2001313860 is a gapful number since it is divisible by the number (20) 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 2001313860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510063648).

2001313860 is an abundant number, since it is smaller than the sum of its proper divisors (5018813436).

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

2001313860 is a wasteful number, since it uses less digits than its factorization.

2001313860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52402 (or 52393 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2001313860 is about 44736.0465396754. The cubic root of 2001313860 is about 1260.1968828145.

Adding to 2001313860 its reverse (683131002), we get a palindrome (2684444862).

The spelling of 2001313860 in words is "two billion, one million, three hundred thirteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 52363 104726 157089 209452 261815 314178 366541 523630 628356 680719 733082 785445 1047260 1099623 1361438 1466164 1570890 1832705 2042157 2199246 2565787 2722876 3141780 3403595 3665410 4084314 4398492 4765033 5131574 5498115 6807190 7330820 7697361 8168628 9530066 10210785 10263148 10996230 12828935 13614380 14295099 15394722 19060132 20421570 21992460 23825165 25657870 28590198 30789444 33355231 38486805 40843140 47650330 51315740 57180396 66710462 71475495 76973610 95300660 100065693 133420924 142950990 153947220 166776155 200131386 285901980 333552310 400262772 500328465 667104620 1000656930 2001313860