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1131113529 = 327131972689
BaseRepresentation
bin100001101101011…
…0110110000111001
32220211101112001200
41003122312300321
54304031113104
6304123404413
740013210040
oct10332666071
92824345050
101131113529
11530536377
12276983709
13150455760
14aa31b557
156947eb39
hex436b6c39

1131113529 has 48 divisors (see below), whose sum is σ = 2116732800. Its totient is φ = 565221888.

The previous prime is 1131113519. The next prime is 1131113539. The reversal of 1131113529 is 9253111311.

It is a happy number.

1131113529 is a `hidden beast` number, since 1 + 131 + 1 + 1 + 3 + 529 = 666.

1131113529 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1131113519) and next prime (1131113539).

It is not a de Polignac number, because 1131113529 - 29 = 1131113017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1131113509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20784 + ... + 51905.

It is an arithmetic number, because the mean of its divisors is an integer number (44098600).

Almost surely, 21131113529 is an apocalyptic number.

1131113529 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1131113529 is a deficient number, since it is larger than the sum of its proper divisors (985619271).

1131113529 is a wasteful number, since it uses less digits than its factorization.

1131113529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72734 (or 72731 counting only the distinct ones).

The product of its digits is 810, while the sum is 27.

The square root of 1131113529 is about 33632.0312945858. The cubic root of 1131113529 is about 1041.9224577362.

The spelling of 1131113529 in words is "one billion, one hundred thirty-one million, one hundred thirteen thousand, five hundred twenty-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 5187 15561 72689 218067 508823 654201 944957 1381091 1526469 2834871 4143273 4579407 6614699 8504613 9667637 12429819 17954183 19844097 29002911 53862549 59532291 87008733 125679281 161587647 377037843 1131113529