| Base | Representation |
|---|---|
| bin | 10010101000000111… |
| … | …01111010111110000 |
| 3 | 221210221010212010020 |
| 4 | 21110003233113300 |
| 5 | 130440022414300 |
| 6 | 4332151003440 |
| 7 | 502546210353 |
| oct | 112403572760 |
| 9 | 27727125106 |
| 10 | 10000201200 |
| 11 | 42719421a0 |
| 12 | 1b31069580 |
| 13 | c34a5ac22 |
| 14 | 6ac1b629a |
| 15 | 3d7dec8a0 |
| hex | 2540ef5f0 |
10000201200 has 240 divisors, whose sum is σ = 35082742656. Its totient is φ = 2414822400.
The previous prime is 10000201181. The next prime is 10000201207. The reversal of 10000201200 is 210200001.
It is a happy number.
10000201200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10000201207) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734262 + ... + 3736938.
Almost surely, 210000201200 is an apocalyptic number.
10000201200 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 10000201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17541371328).
10000201200 is an abundant number, since it is smaller than the sum of its proper divisors (25082541456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000201200 is a wasteful number, since it uses less digits than its factorization.
10000201200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2992 (or 2981 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
Adding to 10000201200 its reverse (210200001), we get a palindrome (10210401201).
The spelling of 10000201200 in words is "ten billion, two hundred one thousand, two hundred".
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