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11105311 = 7332377
BaseRepresentation
bin101010010111…
…010000011111
3202220012121211
4222113100133
510320332221
61034005251
7163252000
oct52272037
922805554
1011105311
1162a5648
123876827
1323ba9b9
1416911a7
15e956e1
hexa9741f

11105311 has 8 divisors (see below), whose sum is σ = 12951200. Its totient is φ = 9518544.

The previous prime is 11105299. The next prime is 11105321. The reversal of 11105311 is 11350111.

It is not a de Polignac number, because 11105311 - 29 = 11104799 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11105291 and 11105300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105321) 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 7 ways as a sum of consecutive naturals, for example, 15846 + ... + 16531.

It is an arithmetic number, because the mean of its divisors is an integer number (1618900).

Almost surely, 211105311 is an apocalyptic number.

11105311 is a deficient number, since it is larger than the sum of its proper divisors (1845889).

11105311 is an frugal number, since it uses more digits than its factorization.

11105311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32398 (or 32384 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 13.

The square root of 11105311 is about 3332.4632030977. The cubic root of 11105311 is about 223.1054820810.

Adding to 11105311 its reverse (11350111), we get a palindrome (22455422).

The spelling of 11105311 in words is "eleven million, one hundred five thousand, three hundred eleven".

Divisors: 1 7 49 343 32377 226639 1586473 11105311