| Base | Representation |
|---|---|
| bin | 10000011110011101011… |
| … | …010010111000010000000 |
| 3 | 11000020110011122210120100 |
| 4 | 100132131122113002000 |
| 5 | 122022240114104330 |
| 6 | 2224044454442400 |
| 7 | 144541254346500 |
| oct | 20363532270200 |
| 9 | 4006404583510 |
| 10 | 1132217331840 |
| 11 | 3a7197192281 |
| 12 | 163521363400 |
| 13 | 829c965c83a |
| 14 | 3cb2a1c1a00 |
| 15 | 1e6b90bc060 |
| hex | 1079d697080 |
1132217331840 has 2304 divisors, whose sum is σ = 5093622144000. Its totient is φ = 229939347456.
The previous prime is 1132217331803. The next prime is 1132217331863. The reversal of 1132217331840 is 481337122311.
1132217331840 is a `hidden beast` number, since 1 + 1 + 32 + 217 + 331 + 84 + 0 = 666.
It is a super-3 number, since 3×11322173318403 (a number of 37 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 1132217331795 and 1132217331804.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 10992401229 + ... + 10992401331.
It is an arithmetic number, because the mean of its divisors is an integer number (2210773500).
Almost surely, 21132217331840 is an apocalyptic number.
1132217331840 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 1132217331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546811072000).
1132217331840 is an abundant number, since it is smaller than the sum of its proper divisors (3961404812160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1132217331840 is a wasteful number, since it uses less digits than its factorization.
1132217331840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 1132217331840 in words is "one trillion, one hundred thirty-two billion, two hundred seventeen million, three hundred thirty-one thousand, eight hundred forty".
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