Search a number
-
+
201032311320 = 23335832242663
BaseRepresentation
bin1011101100111001110…
…1011010001000011000
3201012220021202112102000
42323032131122020120
511243203232430240
6232204124041000
720344524311001
oct2731635321030
9635807675360
10201032311320
1178291553a55
1232b65393160
1315c5a160389
149a312401a8
155368dd9430
hex2ece75a218

201032311320 has 128 divisors (see below), whose sum is σ = 678181593600. Its totient is φ = 52962705792.

The previous prime is 201032311313. The next prime is 201032311351. The reversal of 201032311320 is 23113230102.

201032311320 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 32 + 311 + 320 = 666.

201032311320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010323113202 (a number of 23 digits) contains 22 as substring.

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 = 201032311293 and 201032311302.

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, 1031692 + ... + 1210971.

It is an arithmetic number, because the mean of its divisors is an integer number (5298293700).

Almost surely, 2201032311320 is an apocalyptic number.

201032311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201032311320 is an abundant number, since it is smaller than the sum of its proper divisors (477149282280).

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

201032311320 is a wasteful number, since it uses less digits than its factorization.

201032311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242766 (or 2242756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201032311320 its reverse (23113230102), we get a palindrome (224145541422).

The spelling of 201032311320 in words is "two hundred one billion, thirty-two million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1494 1660 1992 2241 2490 2988 3320 3735 4482 4980 5976 7470 8964 9960 11205 14940 17928 22410 29880 44820 89640 2242663 4485326 6727989 8970652 11213315 13455978 17941304 20183967 22426630 26911956 33639945 40367934 44853260 53823912 60551901 67279890 80735868 89706520 100919835 121103802 134559780 161471736 186141029 201839670 242207604 269119560 302759505 372282058 403679340 484415208 558423087 605519010 744564116 807358680 930705145 1116846174 1211038020 1489128232 1675269261 1861410290 2233692348 2422076040 2792115435 3350538522 3722820580 4467384696 5025807783 5584230870 6701077044 7445641160 8376346305 10051615566 11168461740 13402154088 16752692610 20103231132 22336923480 25129038915 33505385220 40206462264 50258077830 67010770440 100516155660 201032311320