| Base | Representation |
|---|---|
| bin | 1011101101111110100… |
| … | …0000010110100100100 |
| 3 | 201020122100200111012120 |
| 4 | 2323133220002310210 |
| 5 | 11244300444441400 |
| 6 | 232252452545540 |
| 7 | 20354622263265 |
| oct | 2733750026444 |
| 9 | 636570614176 |
| 10 | 201320312100 |
| 11 | 7841a082226 |
| 12 | 330259222b0 |
| 13 | 15ca4a1963b |
| 14 | 9a5b5ac96c |
| 15 | 5384327ca0 |
| hex | 2edfa02d24 |
201320312100 has 288 divisors, whose sum is σ = 653558169600. Its totient is φ = 47547648000.
The previous prime is 201320312093. The next prime is 201320312101. The reversal of 201320312100 is 1213023102.
201320312100 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 (15).
It is a self number, because there is not a number n which added to its sum of digits gives 201320312100.
It is not an unprimeable number, because it can be changed into a prime (201320312101) 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 95 ways as a sum of consecutive naturals, for example, 14625021 + ... + 14638779.
It is an arithmetic number, because the mean of its divisors is an integer number (2269299200).
Almost surely, 2201320312100 is an apocalyptic number.
201320312100 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 201320312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326779084800).
201320312100 is an abundant number, since it is smaller than the sum of its proper divisors (452237857500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201320312100 is a wasteful number, since it uses less digits than its factorization.
201320312100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13963 (or 13956 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 201320312100 its reverse (1213023102), we get a palindrome (202533335202).
The spelling of 201320312100 in words is "two hundred one billion, three hundred twenty million, three hundred twelve thousand, one hundred".
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