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13212003331 = 731037612309
BaseRepresentation
bin11000100110111111…
…10010110000000011
31021002202201022100201
430103133302300003
5204024233101311
610023003030031
7645256114102
oct142337626003
937082638321
1013212003331
11566a91671a
12268880b317
13132729c667
148d4994039
15524d7c9c1
hex3137f2c03

13212003331 has 16 divisors (see below), whose sum is σ = 13546653120. Its totient is φ = 12881963520.

The previous prime is 13212003323. The next prime is 13212003349. The reversal of 13212003331 is 13330021231.

13212003331 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 13212003331 - 23 = 13212003323 is a prime.

It is a super-2 number, since 2×132120033312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13212003299 and 13212003308.

It is not an unprimeable number, because it can be changed into a prime (13212003131) 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, 5720805 + ... + 5723113.

It is an arithmetic number, because the mean of its divisors is an integer number (846665820).

Almost surely, 213212003331 is an apocalyptic number.

13212003331 is a deficient number, since it is larger than the sum of its proper divisors (334649789).

13212003331 is a wasteful number, since it uses less digits than its factorization.

13212003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13212003331 its reverse (13330021231), we get a palindrome (26542024562).

The spelling of 13212003331 in words is "thirteen billion, two hundred twelve million, three thousand, three hundred thirty-one".

Divisors: 1 73 103 761 2309 7519 55553 78383 168557 237827 1757149 5721959 17361371 128271877 180986347 13212003331