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11103120 = 2432572203
BaseRepresentation
bin101010010110…
…101110010000
3202220002121200
4222112232100
510320244440
61033551200
7163242420
oct52265620
922802550
1011103120
1162a3a36
123875500
1323b99c2
141690480
15e94c30
hexa96b90

11103120 has 120 divisors (see below), whose sum is σ = 42634176. Its totient is φ = 2536704.

The previous prime is 11103119. The next prime is 11103133. The reversal of 11103120 is 2130111.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3939 + ... + 6141.

Almost surely, 211103120 is an apocalyptic number.

11103120 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 11103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21317088).

11103120 is an abundant number, since it is smaller than the sum of its proper divisors (31531056).

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

11103120 is a wasteful number, since it uses less digits than its factorization.

11103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11103120 is about 3332.1344510689. The cubic root of 11103120 is about 223.0908087335.

Adding to 11103120 its reverse (2130111), we get a palindrome (13233231).

The spelling of 11103120 in words is "eleven million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2203 2520 4406 5040 6609 8812 11015 13218 15421 17624 19827 22030 26436 30842 33045 35248 39654 44060 46263 52872 61684 66090 77105 79308 88120 92526 99135 105744 123368 132180 138789 154210 158616 176240 185052 198270 231315 246736 264360 277578 308420 317232 370104 396540 462630 528720 555156 616840 693945 740208 793080 925260 1110312 1233680 1387890 1586160 1850520 2220624 2775780 3701040 5551560 11103120