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11131220 = 2252692069
BaseRepresentation
bin101010011101…
…100101010100
3202221112011102
4222131211110
510322144340
61034325232
7163420352
oct52354524
922845142
1011131220
116313061
123889818
1323c9729
14169a7d2
15e9d215
hexa9d954

11131220 has 24 divisors (see below), whose sum is σ = 23473800. Its totient is φ = 4433792.

The previous prime is 11131187. The next prime is 11131229. The reversal of 11131220 is 2213111.

11131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 188356 + 10942864 = 434^2 + 3308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4346 + ... + 6414.

It is an arithmetic number, because the mean of its divisors is an integer number (978075).

Almost surely, 211131220 is an apocalyptic number.

11131220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131220 is an abundant number, since it is smaller than the sum of its proper divisors (12342580).

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

11131220 is a wasteful number, since it uses less digits than its factorization.

11131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2347 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11131220 is about 3336.3483031602. The cubic root of 11131220 is about 223.2788510947.

Adding to 11131220 its reverse (2213111), we get a palindrome (13344331).

The spelling of 11131220 in words is "eleven million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 269 538 1076 1345 2069 2690 4138 5380 8276 10345 20690 41380 556561 1113122 2226244 2782805 5565610 11131220