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2300103313320 = 2335233461178447
BaseRepresentation
bin100001011110001000110…
…101110100011110101000
322010212222011011201221110
4201132020311310132220
5300141102422011240
64520353004310320
7325114463402421
oct41361065643650
98125864151843
102300103313320
118075173a199a
12311937b423a0
13138b8b8c6907
147d47b606648
153ec6e797c80
hex21788d747a8

2300103313320 has 128 divisors (see below), whose sum is σ = 6944996298240. Its totient is φ = 609400227840.

The previous prime is 2300103313307. The next prime is 2300103313363. The reversal of 2300103313320 is 233133010032.

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, 12800337 + ... + 12978783.

It is an arithmetic number, because the mean of its divisors is an integer number (54257783580).

Almost surely, 22300103313320 is an apocalyptic number.

2300103313320 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 2300103313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472498149120).

2300103313320 is an abundant number, since it is smaller than the sum of its proper divisors (4644892984920).

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

2300103313320 is a wasteful number, since it uses less digits than its factorization.

2300103313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179155 (or 179151 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2300103313320 its reverse (233133010032), we get a palindrome (2533236323352).

The spelling of 2300103313320 in words is "two trillion, three hundred billion, one hundred three million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 233 461 466 699 922 932 1165 1383 1398 1844 1864 2305 2330 2766 2796 3495 3688 4610 4660 5532 5592 6915 6990 9220 9320 11064 13830 13980 18440 27660 27960 55320 107413 178447 214826 322239 356894 429652 535341 537065 644478 713788 859304 892235 1070682 1074130 1288956 1427576 1611195 1784470 2141364 2148260 2577912 2676705 3222390 3568940 4282728 4296520 5353410 6444780 7137880 10706820 12889560 21413640 41578151 82264067 83156302 124734453 164528134 166312604 207890755 246792201 249468906 329056268 332625208 411320335 415781510 493584402 498937812 623672265 658112536 822640670 831563020 987168804 997875624 1233961005 1247344530 1645281340 1663126040 1974337608 2467922010 2494689060 3290562680 4935844020 4989378120 9871688040 19167527611 38335055222 57502582833 76670110444 95837638055 115005165666 153340220888 191675276110 230010331332 287512914165 383350552220 460020662664 575025828330 766701104440 1150051656660 2300103313320