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11310111 = 34197349
BaseRepresentation
bin101011001001…
…010000011111
3210021121120000
4223021100133
510343410421
61042225343
7165064041
oct53112037
923247500
1011310111
1164254aa
123955253
13245cc97
141705a91
15ed6226
hexac941f

11310111 has 20 divisors (see below), whose sum is σ = 17787000. Its totient is φ = 7142256.

The previous prime is 11310097. The next prime is 11310113. The reversal of 11310111 is 11101311.

11310111 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11310111 - 213 = 11301919 is a prime.

It is a super-2 number, since 2×113101112 = 255837221664642, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11310093 and 11310102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2136 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (889350).

Almost surely, 211310111 is an apocalyptic number.

11310111 is a deficient number, since it is larger than the sum of its proper divisors (6476889).

11310111 is an equidigital number, since it uses as much as digits as its factorization.

11310111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7380 (or 7371 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 11310111 is about 3363.0508470732. The cubic root of 11310111 is about 224.4686126658.

Adding to 11310111 its reverse (11101311), we get a palindrome (22411422).

The spelling of 11310111 in words is "eleven million, three hundred ten thousand, one hundred eleven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 7349 22047 66141 139631 198423 418893 595269 1256679 3770037 11310111