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11304132040 = 235614632841
BaseRepresentation
bin10101000011100011…
…10101110111001000
31002011210201101222001
422201301311313020
5141122324211130
65105410440344
7550061352115
oct124161656710
932153641861
1011304132040
114880984793
1222358930b4
1310b1c41136
1479343b90c
154626176ca
hex2a1c75dc8

11304132040 has 32 divisors (see below), whose sum is σ = 25851258360. Its totient is φ = 4447526400.

The previous prime is 11304132029. The next prime is 11304132043. The reversal of 11304132040 is 4023140311.

11304132040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2993621796 + 8310510244 = 54714^2 + 91162^2 .

It is a super-3 number, since 3×113041320403 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304131999 and 11304132017.

It is not an unprimeable number, because it can be changed into a prime (11304132043) 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 7 ways as a sum of consecutive naturals, for example, 2313981 + ... + 2318860.

Almost surely, 211304132040 is an apocalyptic number.

11304132040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11304132040 is an abundant number, since it is smaller than the sum of its proper divisors (14547126320).

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

11304132040 is a wasteful number, since it uses less digits than its factorization.

11304132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632913 (or 4632909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 11304132040 its reverse (4023140311), we get a palindrome (15327272351).

The spelling of 11304132040 in words is "eleven billion, three hundred four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 4632841 9265682 18531364 23164205 37062728 46328410 92656820 185313640 282603301 565206602 1130413204 1413016505 2260826408 2826033010 5652066020 11304132040