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993111111 = 354086877
BaseRepresentation
bin111011001100011…
…010110001000111
32120012201021100000
4323030122301013
54013214023421
6242313452343
733416206446
oct7314326107
92505637300
10993111111
1146a649093
122387110b3
1312a997715
1495c76d5d
155c2c0226
hex3b31ac47

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".

Divisors: 1 3 9 27 81 243 4086877 12260631 36781893 110345679 331037037 993111111