| Base | Representation |
|---|---|
| bin | 111100111110111… |
| … | …011111100001000 |
| 3 | 2122022012110102120 |
| 4 | 330332323330020 |
| 5 | 4043410201100 |
| 6 | 245305131240 |
| 7 | 34232321244 |
| oct | 7476737410 |
| 9 | 2568173376 |
| 10 | 1023131400 |
| 11 | 485592845 |
| 12 | 246789b20 |
| 13 | 133c789c5 |
| 14 | 99c4d424 |
| 15 | 5ec500a0 |
| hex | 3cfbbf08 |
1023131400 has 192 divisors, whose sum is σ = 3450314880. Its totient is φ = 249753600.
The previous prime is 1023131377. The next prime is 1023131411. The reversal of 1023131400 is 41313201.
1023131400 is digitally balanced in base 6, 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 1023131400.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 376045 + ... + 378755.
It is an arithmetic number, because the mean of its divisors is an integer number (17970390).
Almost surely, 21023131400 is an apocalyptic number.
1023131400 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 1023131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725157440).
1023131400 is an abundant number, since it is smaller than the sum of its proper divisors (2427183480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023131400 is a wasteful number, since it uses less digits than its factorization.
1023131400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2784 (or 2775 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 1023131400 is about 31986.4252457195. The cubic root of 1023131400 is about 1007.6517677806.
Adding to 1023131400 its reverse (41313201), we get a palindrome (1064444601).
The spelling of 1023131400 in words is "one billion, twenty-three million, one hundred thirty-one thousand, four hundred".
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