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11333316132 = 22321433219689
BaseRepresentation
bin10101000111000010…
…01010111000100100
31002020211122010000100
422203201022320210
5141202312104012
65112332144100
7550564411665
oct124341127044
932224563010
1011333316132
1148963a8176
122243608030
1310b7cbb928
1479727736c
15464e7e8dc
hex2a384ae24

11333316132 has 36 divisors (see below), whose sum is σ = 28668226860. Its totient is φ = 3775118592.

The previous prime is 11333316131. The next prime is 11333316149. The reversal of 11333316132 is 23161333311.

11333316132 is a `hidden beast` number, since 1 + 1 + 333 + 316 + 13 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10353876516 + 979439616 = 101754^2 + 31296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 11333316096 and 11333316105.

It is not an unprimeable number, because it can be changed into a prime (11333316131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58257 + ... + 161432.

It is an arithmetic number, because the mean of its divisors is an integer number (796339635).

Almost surely, 211333316132 is an apocalyptic number.

11333316132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11333316132 is an abundant number, since it is smaller than the sum of its proper divisors (17334910728).

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

11333316132 is a wasteful number, since it uses less digits than its factorization.

11333316132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221132 (or 221127 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

Adding to 11333316132 its reverse (23161333311), we get a palindrome (34494649443).

The spelling of 11333316132 in words is "eleven billion, three hundred thirty-three million, three hundred sixteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1433 2866 4299 5732 8598 12897 17196 25794 51588 219689 439378 659067 878756 1318134 1977201 2636268 3954402 7908804 314814337 629628674 944443011 1259257348 1888886022 2833329033 3777772044 5666658066 11333316132