Base | Representation |
---|---|
bin | 100100101100001… |
… | …0110011010000000 |
3 | 10011210120101011001 |
4 | 1021120112122000 |
5 | 10010131320000 |
6 | 322055101344 |
7 | 42336230065 |
oct | 11130263200 |
9 | 3153511131 |
10 | 1231120000 |
11 | 581a31750 |
12 | 2a4371854 |
13 | 16809c196 |
14 | b9710c6c |
15 | 7313646a |
hex | 49616680 |
1231120000 has 160 divisors (see below), whose sum is σ = 3345804000. Its totient is φ = 447360000.
The previous prime is 1231119983. The next prime is 1231120003. The reversal of 1231120000 is 211321.
1231120000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1231120003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879301 + ... + 880699.
It is an arithmetic number, because the mean of its divisors is an integer number (20911275).
Almost surely, 21231120000 is an apocalyptic number.
1231120000 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 1231120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672902000).
1231120000 is an abundant number, since it is smaller than the sum of its proper divisors (2114684000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1231120000 is an equidigital number, since it uses as much as digits as its factorization.
1231120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1444 (or 1417 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1231120000 is about 35087.3196468468. The cubic root of 1231120000 is about 1071.7663781391.
Adding to 1231120000 its reverse (211321), we get a palindrome (1231331321).
The spelling of 1231120000 in words is "one billion, two hundred thirty-one million, one hundred twenty thousand".
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