| Base | Representation |
|---|---|
| bin | 111111000111010… |
| … | …1011011011011000 |
| 3 | 12110120222020001100 |
| 4 | 1332032223123120 |
| 5 | 13314122331422 |
| 6 | 550051151400 |
| 7 | 103323544203 |
| oct | 17616533330 |
| 9 | 5416866040 |
| 10 | 2117777112 |
| 11 | 997480320 |
| 12 | 4b12a5560 |
| 13 | 2799a3569 |
| 14 | 16139693a |
| 15 | c5dc97ac |
| hex | 7e3ab6d8 |
2117777112 has 96 divisors (see below), whose sum is σ = 6267456000. Its totient is φ = 640685760.
The previous prime is 2117777111. The next prime is 2117777131.
It is a happy number.
2117777112 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×21177771122 = 8969959792222121088, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2117777111) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 567589 + ... + 571307.
It is an arithmetic number, because the mean of its divisors is an integer number (65286000).
Almost surely, 22117777112 is an apocalyptic number.
2117777112 is a gapful number since it is divisible by the number (22) 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 2117777112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133728000).
2117777112 is an abundant number, since it is smaller than the sum of its proper divisors (4149678888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2117777112 is a wasteful number, since it uses less digits than its factorization.
2117777112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4461 (or 4454 counting only the distinct ones).
The product of its digits is 9604, while the sum is 36.
The square root of 2117777112 is about 46019.3123807820. The cubic root of 2117777112 is about 1284.1825081939.
It can be divided in two parts, 21177 and 77112, that added together give a palindrome (98289).
The spelling of 2117777112 in words is "two billion, one hundred seventeen million, seven hundred seventy-seven thousand, one hundred twelve".
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