| Base | Representation |
|---|---|
| bin | 10000011101010101100… |
| … | …001110001001011100000 |
| 3 | 11000010100010022202122202 |
| 4 | 100131111201301023200 |
| 5 | 122012302344030100 |
| 6 | 2223325053352332 |
| 7 | 144466341356612 |
| oct | 20352541611340 |
| 9 | 4003303282582 |
| 10 | 1131011314400 |
| 11 | 3a6728446550 |
| 12 | 1632454986a8 |
| 13 | 8286683c456 |
| 14 | 3ca53d66db2 |
| 15 | 1e6482937d5 |
| hex | 107558712e0 |
1131011314400 has 288 divisors, whose sum is σ = 3047024977920. Its totient is φ = 406524416000.
The previous prime is 1131011314397. The next prime is 1131011314403. The reversal of 1131011314400 is 44131101311.
It is an interprime number because it is at equal distance from previous prime (1131011314397) and next prime (1131011314403).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1131011314403) 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, 535769345 + ... + 535771455.
It is an arithmetic number, because the mean of its divisors is an integer number (10579947840).
Almost surely, 21131011314400 is an apocalyptic number.
1131011314400 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 1131011314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523512488960).
1131011314400 is an abundant number, since it is smaller than the sum of its proper divisors (1916013663520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131011314400 is a wasteful number, since it uses less digits than its factorization.
1131011314400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2818 (or 2805 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 20.
Adding to 1131011314400 its reverse (44131101311), we get a palindrome (1175142415711).
The spelling of 1131011314400 in words is "one trillion, one hundred thirty-one billion, eleven million, three hundred fourteen thousand, four hundred".
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