Search a number
-
+
211211110220 = 2251131197915649
BaseRepresentation
bin1100010010110100101…
…0011100011101001100
3202012011122222002111212
43010231022130131030
511430030021011340
6241010135033552
721155002546355
oct3045512343514
9665148862455
10211211110220
1181635190250
1234b2620b8b8
1316bbcbc0ac6
14a319026d2c
155762814a65
hex312d29c74c

211211110220 has 96 divisors (see below), whose sum is σ = 499758336000. Its totient is φ = 74284185600.

The previous prime is 211211110219. The next prime is 211211110249. The reversal of 211211110220 is 22011112112.

It is a super-2 number, since 2×2112111102202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211211110195 and 211211110204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13488956 + ... + 13504604.

It is an arithmetic number, because the mean of its divisors is an integer number (5205816000).

Almost surely, 2211211110220 is an apocalyptic number.

211211110220 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 211211110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249879168000).

211211110220 is an abundant number, since it is smaller than the sum of its proper divisors (288547225780).

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

211211110220 is a wasteful number, since it uses less digits than its factorization.

211211110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17679 (or 17677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211110220 its reverse (22011112112), we get a palindrome (233222222332).

The spelling of 211211110220 in words is "two hundred eleven billion, two hundred eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 1979 3410 3958 6820 7916 9895 15649 19790 21769 31298 39580 43538 61349 62596 78245 87076 108845 122698 156490 172139 217690 245396 306745 312980 344278 435380 485119 613490 674839 688556 860695 970238 1226980 1349678 1721390 1940476 2425595 2699356 3374195 3442780 4851190 5336309 6748390 9702380 10672618 13496780 21345236 26681545 30969371 53363090 61938742 106726180 123877484 154846855 309693710 340663081 619387420 681326162 960050501 1362652324 1703315405 1920101002 3406630810 3840202004 4800252505 6813261620 9600505010 10560555511 19201010020 21121111022 42242222044 52802777555 105605555110 211211110220