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11313126 = 23211173361
BaseRepresentation
bin101011001001…
…111111100110
3210021202200200
4223021333212
510344010001
61042251330
7165105606
oct53117746
923252620
1011313126
1164277a0
123956b46
132461476
141706c06
15ed7086
hexac9fe6

11313126 has 48 divisors (see below), whose sum is σ = 28321488. Its totient is φ = 3225600.

The previous prime is 11313097. The next prime is 11313139. The reversal of 11313126 is 62131311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11313099 and 11313108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1686 + ... + 5046.

It is an arithmetic number, because the mean of its divisors is an integer number (590031).

Almost surely, 211313126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160744).

11313126 is an abundant number, since it is smaller than the sum of its proper divisors (17008362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11313126 is a wasteful number, since it uses less digits than its factorization.

11313126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3394 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 11313126 is about 3363.4990709082. The cubic root of 11313126 is about 224.4885568478.

Adding to 11313126 its reverse (62131311), we get a palindrome (73444437).

The spelling of 11313126 in words is "eleven million, three hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 3361 3366 6722 10083 20166 30249 36971 57137 60498 73942 110913 114274 171411 221826 332739 342822 514233 628507 665478 1028466 1257014 1885521 3771042 5656563 11313126