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1131204141 = 321011976317
BaseRepresentation
bin100001101101100…
…1100111000101101
32220211120010100200
41003123030320231
54304042013031
6304125344113
740014035154
oct10333147055
92824503320
101131204141
11530598461
12276a08039
13150487a82
14aa34259b
156949b8e6
hex436cce2d

1131204141 has 24 divisors (see below), whose sum is σ = 1658778264. Its totient is φ = 742761600.

The previous prime is 1131204133. The next prime is 1131204169. The reversal of 1131204141 is 1414021311.

It can be written as a sum of positive squares in 4 ways, for example, as 827712900 + 303491241 = 28770^2 + 17421^2 .

It is not a de Polignac number, because 1131204141 - 23 = 1131204133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131204181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175915 + ... + 182231.

It is an arithmetic number, because the mean of its divisors is an integer number (69115761).

Almost surely, 21131204141 is an apocalyptic number.

It is an amenable number.

1131204141 is a deficient number, since it is larger than the sum of its proper divisors (527574123).

1131204141 is a wasteful number, since it uses less digits than its factorization.

1131204141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6618 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131204141 is about 33633.3783762500. The cubic root of 1131204141 is about 1041.9502793339.

Adding to 1131204141 its reverse (1414021311), we get a palindrome (2545225452).

The spelling of 1131204141 in words is "one billion, one hundred thirty-one million, two hundred four thousand, one hundred forty-one".

Divisors: 1 3 9 101 197 303 591 909 1773 6317 18951 19897 56853 59691 179073 638017 1244449 1914051 3733347 5742153 11200041 125689349 377068047 1131204141