| Base | Representation |
|---|---|
| bin | 100110101111100… |
| … | …1011111111010000 |
| 3 | 10100121012220211100 |
| 4 | 1031133023333100 |
| 5 | 10130301134300 |
| 6 | 332555544400 |
| 7 | 44133666162 |
| oct | 11537137720 |
| 9 | 3317186740 |
| 10 | 1300021200 |
| 11 | 607912195 |
| 12 | 30345b100 |
| 13 | 17944481a |
| 14 | c4928932 |
| 15 | 791e6700 |
| hex | 4d7cbfd0 |
1300021200 has 180 divisors, whose sum is σ = 4554198220. Its totient is φ = 343388160.
The previous prime is 1300021183. The next prime is 1300021207. The reversal of 1300021200 is 21200031.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 57881664 + 1242139536 = 7608^2 + 35244^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1300021207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 390744 + ... + 394056.
Almost surely, 21300021200 is an apocalyptic number.
1300021200 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 1300021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2277099110).
1300021200 is an abundant number, since it is smaller than the sum of its proper divisors (3254177020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1300021200 is a wasteful number, since it uses less digits than its factorization.
1300021200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3446 (or 3432 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1300021200 is about 36055.8067445453. The cubic root of 1300021200 is about 1091.3988157286.
Adding to 1300021200 its reverse (21200031), we get a palindrome (1321221231).
The spelling of 1300021200 in words is "one billion, three hundred million, twenty-one thousand, two hundred".
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