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1213330320 = 24335975791
BaseRepresentation
bin100100001010001…
…1111001110010000
310010120002120022000
41020110133032100
54441103032240
6320221514000
742032065116
oct11024371620
93116076260
101213330320
11572991034
1229a412900
131644b0b47
14b71ddab6
15717c0430
hex4851f390

1213330320 has 160 divisors (see below), whose sum is σ = 4223063040. Its totient is φ = 320163840.

The previous prime is 1213330303. The next prime is 1213330351. The reversal of 1213330320 is 230333121.

1213330320 is a `hidden beast` number, since 1 + 2 + 13 + 330 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1213330293 and 1213330302.

It is an unprimeable number.

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, 206625 + ... + 212415.

It is an arithmetic number, because the mean of its divisors is an integer number (26394144).

Almost surely, 21213330320 is an apocalyptic number.

1213330320 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 1213330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2111531520).

1213330320 is an abundant number, since it is smaller than the sum of its proper divisors (3009732720).

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

1213330320 is a wasteful number, since it uses less digits than its factorization.

1213330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1213330320 is about 34832.8913528579. The cubic root of 1213330320 is about 1066.5789710890.

Adding to 1213330320 its reverse (230333121), we get a palindrome (1443663441).

The spelling of 1213330320 in words is "one billion, two hundred thirteen million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 240 270 291 360 388 432 485 540 582 720 776 873 970 1080 1164 1455 1552 1746 1940 2160 2328 2619 2910 3492 3880 4365 4656 5238 5791 5820 6984 7760 8730 10476 11582 11640 13095 13968 17373 17460 20952 23164 23280 26190 28955 34746 34920 41904 46328 52119 52380 57910 69492 69840 86865 92656 104238 104760 115820 138984 156357 173730 208476 209520 231640 260595 277968 312714 347460 416952 463280 521190 561727 625428 694920 781785 833904 1042380 1123454 1250856 1389840 1563570 1685181 2084760 2246908 2501712 2808635 3127140 3370362 4169520 4493816 5055543 5617270 6254280 6740724 8425905 8987632 10111086 11234540 12508560 13481448 15166629 16851810 20222172 22469080 25277715 26962896 30333258 33703620 40444344 44938160 50555430 60666516 67407240 75833145 80888688 101110860 121333032 134814480 151666290 202221720 242666064 303332580 404443440 606665160 1213330320