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11231121220 = 225111012691879
BaseRepresentation
bin10100111010110110…
…10100111101000100
31001222201100001221121
422131123110331010
5141000131334340
65054241523324
7545213645434
oct123533247504
931881301847
1011231121220
114843747670
122215343544
13109ca8a077
147878742c4
1545aee494a
hex29d6d4f44

11231121220 has 96 divisors (see below), whose sum is σ = 26094700800. Its totient is φ = 4026432000.

The previous prime is 11231121193. The next prime is 11231121227. The reversal of 11231121220 is 2212113211.

It is a super-2 number, since 2×112311212202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11231121194 and 11231121203.

It is not an unprimeable number, because it can be changed into a prime (11231121227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5976241 + ... + 5978119.

It is an arithmetic number, because the mean of its divisors is an integer number (271819800).

Almost surely, 211231121220 is an apocalyptic number.

11231121220 is a gapful number since it is divisible by the number (10) 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 11231121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13047350400).

11231121220 is an abundant number, since it is smaller than the sum of its proper divisors (14863579580).

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

11231121220 is a wasteful number, since it uses less digits than its factorization.

11231121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11231121220 its reverse (2212113211), we get a palindrome (13443234431).

The spelling of 11231121220 in words is "eleven billion, two hundred thirty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 269 404 505 538 1010 1076 1111 1345 1879 2020 2222 2690 2959 3758 4444 5380 5555 5918 7516 9395 11110 11836 14795 18790 20669 22220 27169 29590 37580 41338 54338 59180 82676 103345 108676 135845 189779 206690 271690 298859 379558 413380 505451 543380 597718 759116 948895 1010902 1195436 1494295 1897790 2021804 2087569 2527255 2988590 3795580 4175138 5054510 5559961 5977180 8350276 10109020 10437845 11119922 20875690 22239844 27799805 41751380 51050551 55599610 102101102 111199220 204202204 255252755 510505510 561556061 1021011020 1123112122 2246224244 2807780305 5615560610 11231121220