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1131135 = 35731033
BaseRepresentation
bin100010100001001111111
32010110121220
410110021333
5242144020
640124423
712420525
oct4241177
92113556
101131135
11702925
12466713
13307b15
14216315
15175240
hex11427f

1131135 has 16 divisors (see below), whose sum is σ = 1836384. Its totient is φ = 594432.

The previous prime is 1131133. The next prime is 1131139. The reversal of 1131135 is 5311311.

It is not a de Polignac number, because 1131135 - 21 = 1131133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131131) 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 15 ways as a sum of consecutive naturals, for example, 579 + ... + 1611.

It is an arithmetic number, because the mean of its divisors is an integer number (114774).

21131135 is an apocalyptic number.

1131135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1131135 is a deficient number, since it is larger than the sum of its proper divisors (705249).

1131135 is a wasteful number, since it uses less digits than its factorization.

1131135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114.

The product of its digits is 45, while the sum is 15.

The square root of 1131135 is about 1063.5483063782. The cubic root of 1131135 is about 104.1929050348.

Adding to 1131135 its reverse (5311311), we get a palindrome (6442446).

It can be divided in two parts, 113113 and 5, that multiplied together give a palindrome (565565).

The spelling of 1131135 in words is "one million, one hundred thirty-one thousand, one hundred thirty-five".

Divisors: 1 3 5 15 73 219 365 1033 1095 3099 5165 15495 75409 226227 377045 1131135