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11133232513 = 131575454793
BaseRepresentation
bin10100101111001011…
…11010010110000001
31001201220010210212221
422113211322112001
5140300101420023
65040423451041
7542614625554
oct122745722601
931656123787
1011133232513
1147a3468407
1221a85b6a81
131085705560
1477887269b
1545260a85d
hex29797a581

11133232513 has 8 divisors (see below), whose sum is σ = 12066004328. Its totient is φ = 10211370624.

The previous prime is 11133232511. The next prime is 11133232543. The reversal of 11133232513 is 31523233111.

11133232513 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 71031184 + 11062201329 = 8428^2 + 105177^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11133232513 - 21 = 11133232511 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11133232511) 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, 2725356 + ... + 2729437.

It is an arithmetic number, because the mean of its divisors is an integer number (1508250541).

Almost surely, 211133232513 is an apocalyptic number.

11133232513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11133232513 is a deficient number, since it is larger than the sum of its proper divisors (932771815).

11133232513 is a wasteful number, since it uses less digits than its factorization.

11133232513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454963.

The product of its digits is 1620, while the sum is 25.

Adding to 11133232513 its reverse (31523233111), we get a palindrome (42656465624).

The spelling of 11133232513 in words is "eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 13 157 2041 5454793 70912309 856402501 11133232513