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11131000 = 235311131
BaseRepresentation
bin101010011101…
…100001111000
3202221111212021
4222131201320
510322143000
61034324224
7163416616
oct52354170
922844767
1011131000
116312981
123889674
1323c95ba
14169a6b6
15e9d11a
hexa9d878

11131000 has 32 divisors (see below), whose sum is σ = 26048880. Its totient is φ = 4452000.

The previous prime is 11130991. The next prime is 11131019. The reversal of 11131000 is 13111.

It is a happy number.

11131000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111310002 = 247798322000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4566 + ... + 6565.

Almost surely, 211131000 is an apocalyptic number.

11131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131000 is an abundant number, since it is smaller than the sum of its proper divisors (14917880).

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

11131000 is a wasteful number, since it uses less digits than its factorization.

11131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11152 (or 11138 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 11131000 is about 3336.3153328185. The cubic root of 11131000 is about 223.2773801067.

Adding to 11131000 its reverse (13111), we get a palindrome (11144111).

The spelling of 11131000 in words is "eleven million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 11131 22262 44524 55655 89048 111310 222620 278275 445240 556550 1113100 1391375 2226200 2782750 5565500 11131000