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11130075 = 3352111499
BaseRepresentation
bin101010011101…
…010011011011
3202221110121000
4222131103123
510322130300
61034320043
7163414125
oct52352333
922843530
1011130075
116312210
123889023
1323c9058
14169a215
15e9cc00
hexa9d4db

11130075 has 48 divisors (see below), whose sum is σ = 22320000. Its totient is φ = 5392800.

The previous prime is 11130061. The next prime is 11130083. The reversal of 11130075 is 57003111.

It is a happy number.

11130075 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11130075 - 25 = 11130043 is a prime.

It is a super-3 number, since 3×111300753 (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6676 + ... + 8174.

It is an arithmetic number, because the mean of its divisors is an integer number (465000).

Almost surely, 211130075 is an apocalyptic number.

11130075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11130075 is an abundant number, since it is smaller than the sum of its proper divisors (11189925).

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

11130075 is a wasteful number, since it uses less digits than its factorization.

11130075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 11130075 is about 3336.1767039532. The cubic root of 11130075 is about 223.2711950590.

Adding to 11130075 its reverse (57003111), we get a palindrome (68133186).

The spelling of 11130075 in words is "eleven million, one hundred thirty thousand, seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 1499 2475 4497 7425 7495 13491 16489 22485 37475 40473 49467 67455 82445 112425 148401 202365 247335 337275 412225 445203 742005 1011825 1236675 2226015 3710025 11130075