| Base | Representation |
|---|---|
| bin | 111111110101100… |
| … | …1000011100010000 |
| 3 | 12112021120112201020 |
| 4 | 1333223020130100 |
| 5 | 13341323410300 |
| 6 | 552314435440 |
| 7 | 104036545305 |
| oct | 17753103420 |
| 9 | 5467515636 |
| 10 | 2142013200 |
| 11 | 9aa124248 |
| 12 | 4b9432b80 |
| 13 | 281a0ab42 |
| 14 | 1646a50ac |
| 15 | c80b58a0 |
| hex | 7fac8710 |
2142013200 has 240 divisors, whose sum is σ = 7191539712. Its totient is φ = 544320000.
The previous prime is 2142013199. The next prime is 2142013201. The reversal of 2142013200 is 23102412.
It is an interprime number because it is at equal distance from previous prime (2142013199) and next prime (2142013201).
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 2142013200.
It is not an unprimeable number, because it can be changed into a prime (2142013201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2640795 + ... + 2641605.
Almost surely, 22142013200 is an apocalyptic number.
2142013200 is a gapful number since it is divisible by the number (20) 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 2142013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595769856).
2142013200 is an abundant number, since it is smaller than the sum of its proper divisors (5049526512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2142013200 is a wasteful number, since it uses less digits than its factorization.
2142013200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 934 (or 923 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2142013200 is about 46281.8884662240. Note that the first 3 decimals coincide. The cubic root of 2142013200 is about 1289.0627167897.
Adding to 2142013200 its reverse (23102412), we get a palindrome (2165115612).
The spelling of 2142013200 in words is "two billion, one hundred forty-two million, thirteen thousand, two hundred".
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