Base | Representation |
---|---|
bin | 100010000010101… |
… | …0011011101001100 |
3 | 2221121022212012221 |
4 | 1010011103131030 |
5 | 4314403203400 |
6 | 305202105124 |
7 | 40206613660 |
oct | 10405233514 |
9 | 2847285187 |
10 | 1142241100 |
11 | 536846710 |
12 | 27a64b1a4 |
13 | 152850610 |
14 | ab9b68a0 |
15 | 6a42bc1a |
hex | 4415374c |
1142241100 has 144 divisors (see below), whose sum is σ = 3328286976. Its totient is φ = 328608000.
The previous prime is 1142241077. The next prime is 1142241119. The reversal of 1142241100 is 11422411.
It is a happy number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94395 + ... + 105805.
It is an arithmetic number, because the mean of its divisors is an integer number (23113104).
Almost surely, 21142241100 is an apocalyptic number.
1142241100 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 1142241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664143488).
1142241100 is an abundant number, since it is smaller than the sum of its proper divisors (2186045876).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142241100 is a wasteful number, since it uses less digits than its factorization.
1142241100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11456 (or 11449 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 16.
The square root of 1142241100 is about 33797.0575642318. The cubic root of 1142241100 is about 1045.3280259565.
Adding to 1142241100 its reverse (11422411), we get a palindrome (1153663511).
1142241100 divided by its reverse (11422411) gives a square (100 = 102).
It can be divided in two parts, 1142 and 241100, that added together give a palindrome (242242).
The spelling of 1142241100 in words is "one billion, one hundred forty-two million, two hundred forty-one thousand, one hundred".
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