| Base | Representation |
|---|---|
| bin | 111011101011010… |
| … | …010001011100000 |
| 3 | 2120202221100111101 |
| 4 | 323223102023200 |
| 5 | 4022301434100 |
| 6 | 243203124144 |
| 7 | 33545036302 |
| oct | 7353221340 |
| 9 | 2522840441 |
| 10 | 1001202400 |
| 11 | 474175200 |
| 12 | 23b373654 |
| 13 | 12c56b573 |
| 14 | 96d81972 |
| 15 | 5cd6c86a |
| hex | 3bad22e0 |
1001202400 has 108 divisors (see below), whose sum is σ = 2686843656. Its totient is φ = 364038400.
The previous prime is 1001202379. The next prime is 1001202401. The reversal of 1001202400 is 42021001.
1001202400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001202401) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 91629 + ... + 101971.
It is an arithmetic number, because the mean of its divisors is an integer number (24878182).
Almost surely, 21001202400 is an apocalyptic number.
1001202400 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 1001202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343421828).
1001202400 is an abundant number, since it is smaller than the sum of its proper divisors (1685641256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001202400 is a wasteful number, since it uses less digits than its factorization.
1001202400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10385 (or 10361 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 1001202400 is about 31641.7825035190. The cubic root of 1001202400 is about 1000.4006394666.
Adding to 1001202400 its reverse (42021001), we get a palindrome (1043223401).
It can be divided in two parts, 1001 and 202400, that added together give a square (203401 = 4512).
The spelling of 1001202400 in words is "one billion, one million, two hundred two thousand, four hundred".
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