| Base | Representation |
|---|---|
| bin | 100110110010000… |
| … | …1001110110000100 |
| 3 | 10100200200001202100 |
| 4 | 1031210021312010 |
| 5 | 10131114320030 |
| 6 | 333043512100 |
| 7 | 44151031005 |
| oct | 11544116604 |
| 9 | 3320601670 |
| 10 | 1301323140 |
| 11 | 608621377 |
| 12 | 303988630 |
| 13 | 1797ac2c0 |
| 14 | c4b871ac |
| 15 | 793a2360 |
| hex | 4d909d84 |
1301323140 has 144 divisors (see below), whose sum is σ = 4501184688. Its totient is φ = 301473792.
The previous prime is 1301323139. The next prime is 1301323159. The reversal of 1301323140 is 413231031.
1301323140 is a `hidden beast` number, since 1 + 301 + 323 + 1 + 40 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 14379264 + 1286943876 = 3792^2 + 35874^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
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, 23424 + ... + 56136.
It is an arithmetic number, because the mean of its divisors is an integer number (31258227).
Almost surely, 21301323140 is an apocalyptic number.
1301323140 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 1301323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250592344).
1301323140 is an abundant number, since it is smaller than the sum of its proper divisors (3199861548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301323140 is a wasteful number, since it uses less digits than its factorization.
1301323140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32758 (or 32753 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
The square root of 1301323140 is about 36073.8567386411. The cubic root of 1301323140 is about 1091.7630307362.
Adding to 1301323140 its reverse (413231031), we get a palindrome (1714554171).
The spelling of 1301323140 in words is "one billion, three hundred one million, three hundred twenty-three thousand, one hundred forty".
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