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11313300 = 2235243877
BaseRepresentation
bin101011001010…
…000010010100
3210021202221010
4223022002110
510344011200
61042252220
7165106245
oct53120224
923252833
1011313300
116427939
123957070
13246157b
141706ccc
15ed7150
hexaca094

11313300 has 72 divisors (see below), whose sum is σ = 33532576. Its totient is φ = 2943360.

The previous prime is 11313299. The next prime is 11313301. The reversal of 11313300 is 331311.

It is an interprime number because it is at equal distance from previous prime (11313299) and next prime (11313301).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12462 + ... + 13338.

Almost surely, 211313300 is an apocalyptic number.

11313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16766288).

11313300 is an abundant number, since it is smaller than the sum of its proper divisors (22219276).

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

11313300 is a wasteful number, since it uses less digits than its factorization.

11313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 11313300 is about 3363.5249367293. The cubic root of 11313300 is about 224.4897077472.

Adding to 11313300 its reverse (331311), we get a palindrome (11644611).

The spelling of 11313300 in words is "eleven million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 877 1075 1290 1754 2150 2580 2631 3225 3508 4300 4385 5262 6450 8770 10524 12900 13155 17540 21925 26310 37711 43850 52620 65775 75422 87700 113133 131550 150844 188555 226266 263100 377110 452532 565665 754220 942775 1131330 1885550 2262660 2828325 3771100 5656650 11313300