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1113131331 = 321329328067
BaseRepresentation
bin100001001011001…
…0000100101000011
32212120112221010100
41002112100211003
54234430200311
6302242133443
736404313564
oct10226204503
92776487110
101113131331
11521374054
12270951283
131497ca8c0
14a7b9a16b
1567acba56
hex42590943

1113131331 has 24 divisors (see below), whose sum is σ = 1791251280. Its totient is φ = 661381056.

The previous prime is 1113131323. The next prime is 1113131333. The reversal of 1113131331 is 1331313111.

It is not a de Polignac number, because 1113131331 - 23 = 1113131323 is a prime.

It is a super-2 number, since 2×11131313312 = 2478122720107663122, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1113131333) 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 23 ways as a sum of consecutive naturals, for example, 160641 + ... + 167426.

It is an arithmetic number, because the mean of its divisors is an integer number (74635470).

Almost surely, 21113131331 is an apocalyptic number.

1113131331 is a deficient number, since it is larger than the sum of its proper divisors (678119949).

1113131331 is a wasteful number, since it uses less digits than its factorization.

1113131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328115 (or 328112 counting only the distinct ones).

The product of its digits is 81, while the sum is 18.

The square root of 1113131331 is about 33363.6228698264. The cubic root of 1113131331 is about 1036.3715178805.

Adding to 1113131331 its reverse (1331313111), we get a palindrome (2444444442).

The spelling of 1113131331 in words is "one billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 328067 984201 2952603 4264871 9513943 12794613 28541829 38383839 85625487 123681259 371043777 1113131331