| Base | Representation |
|---|---|
| bin | 10000011101011100110… |
| … | …011000111100100000000 |
| 3 | 11000010122121212102121112 |
| 4 | 100131130303013210000 |
| 5 | 122013030111144130 |
| 6 | 2223345132142452 |
| 7 | 144502352302616 |
| oct | 20353463074400 |
| 9 | 4003577772545 |
| 10 | 1131133303040 |
| 11 | 3a6790296404 |
| 12 | 16327a307a28 |
| 13 | 82885bb1590 |
| 14 | 3ca6623d6b6 |
| 15 | 1e653d3d495 |
| hex | 1075ccc7900 |
1131133303040 has 288 divisors, whose sum is σ = 3109272052320. Its totient is φ = 390562578432.
The previous prime is 1131133302947. The next prime is 1131133303049. The reversal of 1131133303040 is 403033311311.
It can be written as a sum of positive squares in 16 ways, for example, as 227994790144 + 903138512896 = 477488^2 + 950336^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1131133302997 and 1131133303015.
It is not an unprimeable number, because it can be changed into a prime (1131133303049) 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 31 ways as a sum of consecutive naturals, for example, 44399426 + ... + 44424894.
It is an arithmetic number, because the mean of its divisors is an integer number (10796083515).
Almost surely, 21131133303040 is an apocalyptic number.
1131133303040 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 1131133303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554636026160).
1131133303040 is an abundant number, since it is smaller than the sum of its proper divisors (1978138749280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131133303040 is a wasteful number, since it uses less digits than its factorization.
1131133303040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25677 (or 25663 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 23.
Adding to 1131133303040 its reverse (403033311311), we get a palindrome (1534166614351).
The spelling of 1131133303040 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-three million, three hundred three thousand, forty".
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