Base | Representation |
---|---|
bin | 111011001100011… |
… | …010110001000111 |
3 | 2120012201021100000 |
4 | 323030122301013 |
5 | 4013214023421 |
6 | 242313452343 |
7 | 33416206446 |
oct | 7314326107 |
9 | 2505637300 |
10 | 993111111 |
11 | 46a649093 |
12 | 2387110b3 |
13 | 12a997715 |
14 | 95c76d5d |
15 | 5c2c0226 |
hex | 3b31ac47 |
993111111 has 12 divisors (see below), whose sum is σ = 1487623592. Its totient is φ = 662073912.
The previous prime is 993111109. The next prime is 993111121. The reversal of 993111111 is 111111399.
It is not a de Polignac number, because 993111111 - 21 = 993111109 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a Duffinian number.
993111111 is a modest number, since divided by 11111 gives 9931 as remainder.
It is a nialpdrome in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (993111121) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2043196 + ... + 2043681.
Almost surely, 2993111111 is an apocalyptic number.
993111111 is a deficient number, since it is larger than the sum of its proper divisors (494512481).
993111111 is an equidigital number, since it uses as much as digits as its factorization.
993111111 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4086892 (or 4086880 counting only the distinct ones).
The product of its digits is 243, while the sum is 27.
The square root of 993111111 is about 31513.6654643664. The cubic root of 993111111 is about 997.6984104161.
The spelling of 993111111 in words is "nine hundred ninety-three million, one hundred eleven thousand, one hundred eleven".
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