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1132113132 = 223324174337
BaseRepresentation
bin100001101111010…
…1010110011101100
32220220021022021000
41003132222303230
54304310110012
6304201040300
740024542243
oct10336526354
92826238230
101132113132
11531059397
12277186090
13150715737
14aa4db95a
15695caddc
hex437aacec

1132113132 has 48 divisors (see below), whose sum is σ = 2936999520. Its totient is φ = 377127936.

The previous prime is 1132113097. The next prime is 1132113133. The reversal of 1132113132 is 2313112311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (1132113133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258868 + ... + 263204.

It is an arithmetic number, because the mean of its divisors is an integer number (61187490).

Almost surely, 21132113132 is an apocalyptic number.

1132113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132113132 is an abundant number, since it is smaller than the sum of its proper divisors (1804886388).

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

1132113132 is a wasteful number, since it uses less digits than its factorization.

1132113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6759 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1132113132 is about 33646.8888903566. Note that the first 4 decimals coincide. The cubic root of 1132113132 is about 1042.2292946519.

Adding to 1132113132 its reverse (2313112311), we get a palindrome (3445225443).

The spelling of 1132113132 in words is "one billion, one hundred thirty-two million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 2417 4337 4834 7251 8674 9668 13011 14502 17348 21753 26022 29004 39033 43506 52044 65259 78066 87012 117099 130518 156132 234198 261036 468396 10482529 20965058 31447587 41930116 62895174 94342761 125790348 188685522 283028283 377371044 566056566 1132113132