| Base | Representation |
|---|---|
| bin | 1011101001011100010… |
| … | …0111011101011000000 |
| 3 | 201010111112101011021000 |
| 4 | 2322113010323223000 |
| 5 | 11234302401220344 |
| 6 | 231532012532000 |
| 7 | 20312512460460 |
| oct | 2722704735300 |
| 9 | 633445334230 |
| 10 | 200103148224 |
| 11 | 77955012a71 |
| 12 | 32946181000 |
| 13 | 15b3c7c5925 |
| 14 | 9983a91ba0 |
| 15 | 531254ba69 |
| hex | 2e9713bac0 |
200103148224 has 448 divisors, whose sum is σ = 689150361600. Its totient is φ = 55749067776.
The previous prime is 200103148181. The next prime is 200103148229. The reversal of 200103148224 is 422841301002.
200103148224 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 (448).
It is a super-3 number, since 3×2001031482243 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (200103148229) 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 63 ways as a sum of consecutive naturals, for example, 217739637 + ... + 217740555.
Almost surely, 2200103148224 is an apocalyptic number.
200103148224 is a gapful number since it is divisible by the number (24) 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 200103148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344575180800).
200103148224 is an abundant number, since it is smaller than the sum of its proper divisors (489047213376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
200103148224 is a wasteful number, since it uses less digits than its factorization.
200103148224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1377 (or 1361 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 27.
Adding to 200103148224 its reverse (422841301002), we get a palindrome (622944449226).
The spelling of 200103148224 in words is "two hundred billion, one hundred three million, one hundred forty-eight thousand, two hundred twenty-four".
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