| Base | Representation |
|---|---|
| bin | 100111101010111… |
| … | …0111101010101100 |
| 3 | 10102202202120022221 |
| 4 | 1033111313222230 |
| 5 | 10211232224400 |
| 6 | 340030445124 |
| 7 | 44662305343 |
| oct | 11725675254 |
| 9 | 3382676287 |
| 10 | 1331133100 |
| 11 | 623432000 |
| 12 | 3119637a4 |
| 13 | 182a1892b |
| 14 | c8b06b5a |
| 15 | 7bcdec1a |
| hex | 4f577aac |
1331133100 has 144 divisors (see below), whose sum is σ = 3244229856. Its totient is φ = 473932800.
The previous prime is 1331133091. The next prime is 1331133113. The reversal of 1331133100 is 13311331.
It is a super-2 number, since 2×13311331002 = 3543830659831220000, which contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9716232 + ... + 9716368.
It is an arithmetic number, because the mean of its divisors is an integer number (22529374).
Almost surely, 21331133100 is an apocalyptic number.
1331133100 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 1331133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622114928).
1331133100 is an abundant number, since it is smaller than the sum of its proper divisors (1913096756).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1331133100 is a wasteful number, since it uses less digits than its factorization.
1331133100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 257 (or 228 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 16.
The square root of 1331133100 is about 36484.6967919428. The cubic root of 1331133100 is about 1100.0366654445.
Adding to 1331133100 its reverse (13311331), we get a palindrome (1344444431).
1331133100 divided by its reverse (13311331) gives a square (100 = 102).
It can be divided in two parts, 1331 and 133100, that multiplied together give a square (177156100 = 133102).
The spelling of 1331133100 in words is "one billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred".
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