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12330135132513 = 3112391563349199
BaseRepresentation
bin1011001101101101010101…
…0100110001100101100001
31121122202020022120110212120
42303123111110301211201
53104004104043220023
642120215203414453
72411552146232142
oct263332524614541
947582208513776
1012330135132513
113a241a99221a0
1214717b5384429
136b595a8a8243
14308ad30a3ac9
15165b05eec8e3
hexb36d5531961

12330135132513 has 16 divisors (see below), whose sum is σ = 18009782784000. Its totient is φ = 7441542182480.

The previous prime is 12330135132467. The next prime is 12330135132533. The reversal of 12330135132513 is 31523153103321.

12330135132513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12330135132513 - 218 = 12330134870369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12330135132533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781666713 + ... + 781682486.

It is an arithmetic number, because the mean of its divisors is an integer number (1125611424000).

Almost surely, 212330135132513 is an apocalyptic number.

It is an amenable number.

12330135132513 is a deficient number, since it is larger than the sum of its proper divisors (5679647651487).

12330135132513 is a wasteful number, since it uses less digits than its factorization.

12330135132513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563349452.

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 12330135132513 its reverse (31523153103321), we get a palindrome (43853288235834).

The spelling of 12330135132513 in words is "twelve trillion, three hundred thirty billion, one hundred thirty-five million, one hundred thirty-two thousand, five hundred thirteen".

Divisors: 1 3 11 33 239 717 2629 7887 1563349199 4690047597 17196841189 51590523567 373640458561 1120921375683 4110045044171 12330135132513