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11203120 = 2451311069
BaseRepresentation
bin101010101111…
…001000110000
3210002011210101
4222233020300
510331444440
61040042144
7164140105
oct52571060
923064711
1011203120
116362085
123903354
132423386
1416b8aac
15eb469a
hexaaf230

11203120 has 40 divisors (see below), whose sum is σ = 26270640. Its totient is φ = 4442880.

The previous prime is 11203117. The next prime is 11203123. The reversal of 11203120 is 2130211.

It is an interprime number because it is at equal distance from previous prime (11203117) and next prime (11203123).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a junction number, because it is equal to n+sod(n) for n = 11203097 and 11203106.

It is not an unprimeable number, because it can be changed into a prime (11203123) 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 7 ways as a sum of consecutive naturals, for example, 9946 + ... + 11014.

It is an arithmetic number, because the mean of its divisors is an integer number (656766).

Almost surely, 211203120 is an apocalyptic number.

11203120 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 11203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13135320).

11203120 is an abundant number, since it is smaller than the sum of its proper divisors (15067520).

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

11203120 is a wasteful number, since it uses less digits than its factorization.

11203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

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

The square root of 11203120 is about 3347.1062128352. The cubic root of 11203120 is about 223.7585621392.

Adding to 11203120 its reverse (2130211), we get a palindrome (13333331).

The spelling of 11203120 in words is "eleven million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1069 1310 2096 2138 2620 4276 5240 5345 8552 10480 10690 17104 21380 42760 85520 140039 280078 560156 700195 1120312 1400390 2240624 2800780 5601560 11203120