| Base | Representation |
|---|---|
| bin | 100010000010110… |
| … | …0101000010100000 |
| 3 | 2221121110112000100 |
| 4 | 1010011211002200 |
| 5 | 4314413004440 |
| 6 | 305203422400 |
| 7 | 40210333644 |
| oct | 10405450240 |
| 9 | 2847415010 |
| 10 | 1142313120 |
| 11 | 536895833 |
| 12 | 27a684a00 |
| 13 | 152877330 |
| 14 | ab9d4c24 |
| 15 | 6a443230 |
| hex | 441650a0 |
1142313120 has 288 divisors, whose sum is σ = 4237833600. Its totient is φ = 278525952.
The previous prime is 1142313071. The next prime is 1142313169. The reversal of 1142313120 is 213132411.
It is an interprime number because it is at equal distance from previous prime (1142313071) and next prime (1142313169).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1142313093 and 1142313102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601861 + ... + 2602299.
It is an arithmetic number, because the mean of its divisors is an integer number (14714700).
Almost surely, 21142313120 is an apocalyptic number.
1142313120 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 1142313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118916800).
1142313120 is an abundant number, since it is smaller than the sum of its proper divisors (3095520480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1142313120 is a wasteful number, since it uses less digits than its factorization.
1142313120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 612 (or 601 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 1142313120 is about 33798.1230248072. The cubic root of 1142313120 is about 1045.3499953236.
Adding to 1142313120 its reverse (213132411), we get a palindrome (1355445531).
The spelling of 1142313120 in words is "one billion, one hundred forty-two million, three hundred thirteen thousand, one hundred twenty".
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