| Base | Representation |
|---|---|
| bin | 11001111000100… |
| … | …10100001110000 |
| 3 | 120010120101220100 |
| 4 | 30330102201300 |
| 5 | 421041143440 |
| 6 | 33313512400 |
| 7 | 5244404223 |
| oct | 1474224160 |
| 9 | 503511810 |
| 10 | 217131120 |
| 11 | 101623908 |
| 12 | 60872700 |
| 13 | 35ca496b |
| 14 | 20ba15ba |
| 15 | 140e0230 |
| hex | cf12870 |
217131120 has 120 divisors (see below), whose sum is σ = 754416000. Its totient is φ = 55899648.
The previous prime is 217131097. The next prime is 217131143. The reversal of 217131120 is 21131712.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (217131097) and next prime (217131143).
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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 217131093 and 217131102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15681 + ... + 26079.
It is an arithmetic number, because the mean of its divisors is an integer number (6286800).
Almost surely, 2217131120 is an apocalyptic number.
217131120 is a gapful number since it is divisible by the number (20) 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 217131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377208000).
217131120 is an abundant number, since it is smaller than the sum of its proper divisors (537284880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
217131120 is a wasteful number, since it uses less digits than its factorization.
217131120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10447 (or 10438 counting only the distinct ones).
The product of its (nonzero) digits is 84, while the sum is 18.
The square root of 217131120 is about 14735.3696933603. The cubic root of 217131120 is about 601.0455104550.
Adding to 217131120 its reverse (21131712), we get a palindrome (238262832).
The spelling of 217131120 in words is "two hundred seventeen million, one hundred thirty-one thousand, one hundred twenty".
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