Base | Representation |
---|---|
bin | 1110011011111… |
… | …10101101000100 |
3 | 22102212210010112 |
4 | 13031332231010 |
5 | 222000331340 |
6 | 20003412152 |
7 | 3000243305 |
oct | 715765504 |
9 | 272783115 |
10 | 121105220 |
11 | 623a7165 |
12 | 34684058 |
13 | 1c122cc2 |
14 | 121267ac |
15 | a973065 |
hex | 737eb44 |
121105220 has 36 divisors (see below), whose sum is σ = 262831212. Its totient is φ = 46872000.
The previous prime is 121105219. The next prime is 121105223. The reversal of 121105220 is 22501121.
It can be written as a sum of positive squares in 2 ways, for example, as 59105344 + 61999876 = 7688^2 + 7874^2 .
It is a super-2 number, since 2×1211052202 = 29332948622496800, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 121105195 and 121105204.
It is not an unprimeable number, because it can be changed into a prime (121105223) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16070 + ... + 22370.
It is an arithmetic number, because the mean of its divisors is an integer number (7300867).
Almost surely, 2121105220 is an apocalyptic number.
121105220 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 121105220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131415606).
121105220 is an abundant number, since it is smaller than the sum of its proper divisors (141725992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121105220 is a wasteful number, since it uses less digits than its factorization.
121105220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6372 (or 6339 counting only the distinct ones).
The product of its (nonzero) digits is 40, while the sum is 14.
The square root of 121105220 is about 11004.7816879755. The cubic root of 121105220 is about 494.7520711958.
Adding to 121105220 its reverse (22501121), we get a palindrome (143606341).
The spelling of 121105220 in words is "one hundred twenty-one million, one hundred five thousand, two hundred twenty".
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