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13032330233 = 134146375273
BaseRepresentation
bin11000010001100100…
…11001001111111001
31020122020121222012112
430020302121033321
5203142234031413
65553104022105
7640644656606
oct141062311771
936566558175
1013032330233
11558845765a
122638601935
1312c8cb1510
148b8b836ad
155141db2a8
hex308c993f9

13032330233 has 16 divisors (see below), whose sum is σ = 14382957456. Its totient is φ = 11731676160.

The previous prime is 13032330191. The next prime is 13032330251. The reversal of 13032330233 is 33203323031.

13032330233 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 8 ways, for example, as 4284095209 + 8748235024 = 65453^2 + 93532^2 .

It is a cyclic number.

It is not a de Polignac number, because 13032330233 - 212 = 13032326137 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13032330199 and 13032330208.

It is not an unprimeable number, because it can be changed into a prime (13032330133) 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, 2468885 + ... + 2474157.

It is an arithmetic number, because the mean of its divisors is an integer number (898934841).

Almost surely, 213032330233 is an apocalyptic number.

13032330233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13032330233 is a deficient number, since it is larger than the sum of its proper divisors (1350627223).

13032330233 is a wasteful number, since it uses less digits than its factorization.

13032330233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9964.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 13032330233 its reverse (33203323031), we get a palindrome (46235653264).

The spelling of 13032330233 in words is "thirteen billion, thirty-two million, three hundred thirty thousand, two hundred thirty-three".

Divisors: 1 13 41 533 4637 5273 60281 68549 190117 216193 2471521 2810509 24450901 317861713 1002486941 13032330233