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20302243320 = 23351638091283
BaseRepresentation
bin10010111010000110…
…111010010111111000
31221101220020211010210
4102322012322113320
5313034333241240
613154323311120
71316052135522
oct227206722770
957356224123
1020302243320
1186790a5997
123b2721b4a0
131bb71ac838
14da84c0a12
157dc56e780
hex4ba1ba5f8

20302243320 has 128 divisors (see below), whose sum is σ = 61403961600. Its totient is φ = 5369877504.

The previous prime is 20302243307. The next prime is 20302243343. The reversal of 20302243320 is 2334220302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15823399 + ... + 15824681.

It is an arithmetic number, because the mean of its divisors is an integer number (479718450).

Almost surely, 220302243320 is an apocalyptic number.

20302243320 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 20302243320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30701980800).

20302243320 is an abundant number, since it is smaller than the sum of its proper divisors (41101718280).

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

20302243320 is a wasteful number, since it uses less digits than its factorization.

20302243320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 20302243320 its reverse (2334220302), we get a palindrome (22636463622).

The spelling of 20302243320 in words is "twenty billion, three hundred two million, two hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 163 326 489 652 809 815 978 1283 1304 1618 1630 1956 2427 2445 2566 3236 3260 3849 3912 4045 4854 4890 5132 6415 6472 6520 7698 8090 9708 9780 10264 12135 12830 15396 16180 19245 19416 19560 24270 25660 30792 32360 38490 48540 51320 76980 97080 131867 153960 209129 263734 395601 418258 527468 627387 659335 791202 836516 1037947 1045645 1054936 1254774 1318670 1582404 1673032 1978005 2075894 2091290 2509548 2637340 3113841 3136935 3164808 3956010 4151788 4182580 5019096 5189735 5274680 6227682 6273870 7912020 8303576 8365160 10379470 12455364 12547740 15569205 15824040 20758940 24910728 25095480 31138410 41517880 62276820 124553640 169185361 338370722 507556083 676741444 845926805 1015112166 1353482888 1691853610 2030224332 2537780415 3383707220 4060448664 5075560830 6767414440 10151121660 20302243320