Search a number
-
+
220212102011000 = 23531129690320069
BaseRepresentation
bin110010000100100000100000…
…000111011001100001111000
31001212201001221000110002212012
4302010200200013121201320
5212330423341103323000
62100204013145505052
764245541113566351
oct6204404007314170
91055631830402765
10220212102011000
1164191478738570
12208466b74a2188
1395b4bb1bc2528
143c54473336d28
151a6d34ea6a735
hexc848201d9878

220212102011000 has 128 divisors (see below), whose sum is σ = 581525626968000. Its totient is φ = 77315847616000.

The previous prime is 220212102010981. The next prime is 220212102011063. The reversal of 220212102011000 is 110201212022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344841035 + ... + 345479034.

Almost surely, 2220212102011000 is an apocalyptic number.

220212102011000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220212102011000 is an abundant number, since it is smaller than the sum of its proper divisors (361313524957000).

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

220212102011000 is a wasteful number, since it uses less digits than its factorization.

220212102011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690320130 (or 690320116 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220212102011000 its reverse (110201212022), we get a palindrome (220322303223022).

The spelling of 220212102011000 in words is "two hundred twenty trillion, two hundred twelve billion, one hundred two million, eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 690320069 1380640138 2761280276 3451600345 5522560552 6903200690 7593520759 13806401380 15187041518 17258001725 20019282001 27612802760 30374083036 34516003450 37967603795 40038564002 60748166072 69032006900 75935207590 80077128004 86290008625 100096410005 138064013800 151870415180 160154256008 172580017250 189838018975 200192820010 220212102011 303740830360 345160034500 379676037950 400385640020 440424204022 500482050025 690320069000 759352075900 800771280040 880848408044 949190094875 1000964100050 1101060510055 1518704151800 1761696816088 1898380189750 2001928200100 2202121020110 2502410250125 3796760379500 4003856400200 4404242040220 5004820500250 5505302550275 7593520759000 8808484080440 10009641000500 11010605100550 20019282001000 22021210201100 27526512751375 44042420402200 55053025502750 110106051005500 220212102011000