| Base | Representation |
|---|---|
| bin | 100111000101001… |
| … | …0011000000001100 |
| 3 | 10101101111001210002 |
| 4 | 1032022103000030 |
| 5 | 10141144301444 |
| 6 | 334042103432 |
| 7 | 44332024400 |
| oct | 11612230014 |
| 9 | 3341431702 |
| 10 | 1311322124 |
| 11 | 6132307a2 |
| 12 | 3071aab78 |
| 13 | 17b8a0568 |
| 14 | c622b100 |
| 15 | 7a1c9d4e |
| hex | 4e29300c |
1311322124 has 72 divisors (see below), whose sum is σ = 2755417392. Its totient is φ = 544199040.
The previous prime is 1311322121. The next prime is 1311322153. The reversal of 1311322124 is 4212231131.
It is a super-3 number, since 3×13113221243 (a number of 28 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1311322096 and 1311322105.
It is not an unprimeable number, because it can be changed into a prime (1311322121) 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 23 ways as a sum of consecutive naturals, for example, 800234 + ... + 801870.
It is an arithmetic number, because the mean of its divisors is an integer number (38269686).
Almost surely, 21311322124 is an apocalyptic number.
1311322124 is a gapful number since it is divisible by the number (14) 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 1311322124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377708696).
1311322124 is an abundant number, since it is smaller than the sum of its proper divisors (1444095268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1311322124 is a wasteful number, since it uses less digits than its factorization.
1311322124 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1783 (or 1774 counting only the distinct ones).
The product of its digits is 288, while the sum is 20.
The square root of 1311322124 is about 36212.1819834155. The cubic root of 1311322124 is about 1094.5521612009.
Adding to 1311322124 its reverse (4212231131), we get a palindrome (5523553255).
The spelling of 1311322124 in words is "one billion, three hundred eleven million, three hundred twenty-two thousand, one hundred twenty-four".
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