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11103400 = 23527211103
BaseRepresentation
bin101010010110…
…110010101000
3202220010000001
4222112302220
510320302100
61033552344
7163243300
oct52266250
922803001
1011103400
1162a4170
1238756b4
1323b9b79
141690600
15e94d6a
hexa96ca8

11103400 has 144 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3427200.

The previous prime is 11103383. The next prime is 11103409. The reversal of 11103400 is 430111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11103409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 107749 + ... + 107851.

It is an arithmetic number, because the mean of its divisors is an integer number (229710).

Almost surely, 211103400 is an apocalyptic number.

11103400 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 11103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

11103400 is an abundant number, since it is smaller than the sum of its proper divisors (21974840).

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

11103400 is a wasteful number, since it uses less digits than its factorization.

11103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11103400 is about 3332.1764659153. The cubic root of 11103400 is about 223.0926840293.

Adding to 11103400 its reverse (430111), we get a palindrome (11533511).

Subtracting from 11103400 its reverse (430111), we obtain a square (10673289 = 32672).

The spelling of 11103400 in words is "eleven million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 49 50 55 56 70 77 88 98 100 103 110 140 154 175 196 200 206 220 245 275 280 308 350 385 392 412 440 490 515 539 550 616 700 721 770 824 980 1030 1078 1100 1133 1225 1400 1442 1540 1925 1960 2060 2156 2200 2266 2450 2575 2695 2884 3080 3605 3850 4120 4312 4532 4900 5047 5150 5390 5665 5768 7210 7700 7931 9064 9800 10094 10300 10780 11330 13475 14420 15400 15862 18025 20188 20600 21560 22660 25235 26950 28325 28840 31724 36050 39655 40376 45320 50470 53900 55517 56650 63448 72100 79310 100940 107800 111034 113300 126175 144200 158620 198275 201880 222068 226600 252350 277585 317240 396550 444136 504700 555170 793100 1009400 1110340 1387925 1586200 2220680 2775850 5551700 11103400