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11113119 = 35192983
BaseRepresentation
bin101010011001…
…001010011111
3202220121100000
4222121022133
510321104434
61034105343
7163313523
oct52311237
922817300
1011113119
1163004a6
12387b253
1323c1414
141693d83
15e97b99
hexa9929f

11113119 has 48 divisors (see below), whose sum is σ = 18345600. Its totient is φ = 6695136.

The previous prime is 11113111. The next prime is 11113129. The reversal of 11113119 is 91131111.

It is not a de Polignac number, because 11113119 - 23 = 11113111 is a prime.

It is a super-2 number, since 2×111131192 = 247002827816322, which contains 22 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133852 + ... + 133934.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 211113119 is an apocalyptic number.

11113119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11113119 is a deficient number, since it is larger than the sum of its proper divisors (7232481).

11113119 is an equidigital number, since it uses as much as digits as its factorization.

11113119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its digits is 27, while the sum is 18.

The square root of 11113119 is about 3333.6345030612. The cubic root of 11113119 is about 223.1577573543.

The spelling of 11113119 in words is "eleven million, one hundred thirteen thousand, one hundred nineteen".

Divisors: 1 3 9 19 27 29 57 81 83 87 171 243 249 261 513 551 747 783 1539 1577 1653 2241 2349 2407 4617 4731 4959 6723 7047 7221 14193 14877 20169 21663 42579 44631 45733 64989 127737 133893 137199 194967 383211 411597 584901 1234791 3704373 11113119