Base | Representation |
---|---|
bin | 111110111000111… |
… | …110001100011000 |
3 | 2201112101202120000 |
4 | 332320332030120 |
5 | 4130102402300 |
6 | 252410533000 |
7 | 35101251006 |
oct | 7670761430 |
9 | 2645352500 |
10 | 1055122200 |
11 | 4a1652a20 |
12 | 255437160 |
13 | 13a799b82 |
14 | a01b9a76 |
15 | 6296dc00 |
hex | 3ee3e318 |
1055122200 has 480 divisors, whose sum is σ = 4148305920. Its totient is φ = 246240000.
The previous prime is 1055122147. The next prime is 1055122207. The reversal of 1055122200 is 22215501.
It is a super-2 number, since 2×10551222002 = 2226565713865680000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1055122207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5524105 + ... + 5524295.
It is an arithmetic number, because the mean of its divisors is an integer number (8642304).
Almost surely, 21055122200 is an apocalyptic number.
1055122200 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 1055122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074152960).
1055122200 is an abundant number, since it is smaller than the sum of its proper divisors (3093183720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1055122200 is a wasteful number, since it uses less digits than its factorization.
1055122200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 200, while the sum is 18.
The square root of 1055122200 is about 32482.6445967689. The cubic root of 1055122200 is about 1018.0464338100.
Adding to 1055122200 its reverse (22215501), we get a palindrome (1077337701).
The spelling of 1055122200 in words is "one billion, fifty-five million, one hundred twenty-two thousand, two hundred".
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