Search a number
-
+
220111022120 = 235112321750101
BaseRepresentation
bin1100110011111110100…
…0111010100000101000
3210001010220201110110112
43030333220322200220
512101241410201440
6245041223033452
721621361550363
oct3147750724050
9701126643415
10220111022120
1185391a2a840
12367aa89b888
13179aa9c9472
14a9210270da
155ad3d20965
hex333fa3a828

220111022120 has 64 divisors (see below), whose sum is σ = 563762643840. Its totient is φ = 76560352000.

The previous prime is 220111022099. The next prime is 220111022149. The reversal of 220111022120 is 21220111022.

220111022120 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 2×2201110221202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220111022095 and 220111022104.

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 15 ways as a sum of consecutive naturals, for example, 10864931 + ... + 10885170.

It is an arithmetic number, because the mean of its divisors is an integer number (8808791310).

Almost surely, 2220111022120 is an apocalyptic number.

220111022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220111022120 is an abundant number, since it is smaller than the sum of its proper divisors (343651621720).

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

220111022120 is a wasteful number, since it uses less digits than its factorization.

220111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750146 (or 21750142 counting only the distinct ones).

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

Adding to 220111022120 its reverse (21220111022), we get a palindrome (241331133142).

The spelling of 220111022120 in words is "two hundred twenty billion, one hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 21750101 43500202 87000404 108750505 174000808 217501010 239251111 435002020 478502222 500252323 870004040 957004444 1000504646 1196255555 1914008888 2001009292 2392511110 2501261615 4002018584 4785022220 5002523230 5502775553 9570044440 10005046460 11005551106 20010092920 22011102212 27513877765 44022204424 55027755530 110055511060 220111022120