| Base | Representation |
|---|---|
| bin | 100111000100110… |
| … | …0010011010110000 |
| 3 | 10101101002221210120 |
| 4 | 1032021202122300 |
| 5 | 10141121414440 |
| 6 | 334033530240 |
| 7 | 44330235246 |
| oct | 11611423260 |
| 9 | 3341087716 |
| 10 | 1311123120 |
| 11 | 61310522a |
| 12 | 307113980 |
| 13 | 17b830ac8 |
| 14 | c61b8796 |
| 15 | 7a18add0 |
| hex | 4e2626b0 |
1311123120 has 240 divisors, whose sum is σ = 4416369120. Its totient is φ = 321490944.
The previous prime is 1311123091. The next prime is 1311123131. The reversal of 1311123120 is 213211131.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1311123120.
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, 3205476 + ... + 3205884.
It is an arithmetic number, because the mean of its divisors is an integer number (18401538).
Almost surely, 21311123120 is an apocalyptic number.
1311123120 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 1311123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2208184560).
1311123120 is an abundant number, since it is smaller than the sum of its proper divisors (3105246000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311123120 is a wasteful number, since it uses less digits than its factorization.
1311123120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 500 (or 475 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 15.
The square root of 1311123120 is about 36209.4341297955. The cubic root of 1311123120 is about 1094.4967892792.
Adding to 1311123120 its reverse (213211131), we get a palindrome (1524334251).
The spelling of 1311123120 in words is "one billion, three hundred eleven million, one hundred twenty-three thousand, one hundred twenty".
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