| Base | Representation |
|---|---|
| bin | 111100010110000… |
| … | …001001111010000 |
| 3 | 2121120000111211220 |
| 4 | 330112001033100 |
| 5 | 4033133431300 |
| 6 | 244243205040 |
| 7 | 34042205442 |
| oct | 7426011720 |
| 9 | 2546014756 |
| 10 | 1012405200 |
| 11 | 47a527014 |
| 12 | 243076780 |
| 13 | 131991741 |
| 14 | 9865a492 |
| 15 | 5dd31da0 |
| hex | 3c5813d0 |
1012405200 has 120 divisors (see below), whose sum is σ = 3252024000. Its totient is φ = 269230080.
The previous prime is 1012405181. The next prime is 1012405243. The reversal of 1012405200 is 25042101.
It is a tau number, because it is divible by the number of its divisors (120).
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 1012405200.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 537861 + ... + 539739.
It is an arithmetic number, because the mean of its divisors is an integer number (27100200).
Almost surely, 21012405200 is an apocalyptic number.
1012405200 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 1012405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626012000).
1012405200 is an abundant number, since it is smaller than the sum of its proper divisors (2239618800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012405200 is a wasteful number, since it uses less digits than its factorization.
1012405200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2349 (or 2338 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 1012405200 is about 31818.3154802387. The cubic root of 1012405200 is about 1004.1180847655.
Adding to 1012405200 its reverse (25042101), we get a palindrome (1037447301).
The spelling of 1012405200 in words is "one billion, twelve million, four hundred five thousand, two hundred".
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