Search a number
-
+
211211201122220 = 225135991356178253
BaseRepresentation
bin110000000001100001110000…
…100111011000111110101100
31000200211121000202110101102202
4300001201300213120332230
5210140441014441402340
62025113030350041032
762326335313441145
oct6001416047307654
91020747022411382
10211211201122220
1161331192850362
121b83218baa9178
1390b11914b7770
143a22968b42acc
15196414c238c15
hexc018709d8fac

211211201122220 has 48 divisors (see below), whose sum is σ = 478459688011200. Its totient is φ = 77855481090816.

The previous prime is 211211201122139. The next prime is 211211201122247. The reversal of 211211201122220 is 22221102112112.

It is a super-2 number, since 2×2112112011222202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211211201122192 and 211211201122201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677933387 + ... + 678244866.

It is an arithmetic number, because the mean of its divisors is an integer number (9967910166900).

Almost surely, 2211211201122220 is an apocalyptic number.

211211201122220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211201122220 is an abundant number, since it is smaller than the sum of its proper divisors (267248486888980).

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

211211201122220 is a wasteful number, since it uses less digits than its factorization.

211211201122220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356178874 (or 1356178872 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211211201122220 its reverse (22221102112112), we get a palindrome (233432303234332).

The spelling of 211211201122220 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred one million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 599 1198 2396 2995 5990 7787 11980 15574 31148 38935 77870 155740 1356178253 2712356506 5424713012 6780891265 13561782530 17630317289 27123565060 35260634578 70521269156 88151586445 176303172890 352606345780 812350773547 1624701547094 3249403094188 4061753867735 8123507735470 10560560056111 16247015470940 21121120112222 42242240224444 52802800280555 105605600561110 211211201122220