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13213031312 = 2413173736717
BaseRepresentation
bin11000100111000111…
…01101101110010000
31021002211122112111002
430103203231232100
5204030014000222
610023041041132
7645300625115
oct142343555620
937084575432
1013213031312
115670458a98
1226890261a8
13132756c530
148d4b8090c
15524ed2392
hex3138edb90

13213031312 has 40 divisors (see below), whose sum is σ = 29191241016. Its totient is φ = 5739595776.

The previous prime is 13213031311. The next prime is 13213031323. The reversal of 13213031312 is 21313031231.

13213031312 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 797723536 + 12415307776 = 28244^2 + 111424^2 .

It is not an unprimeable number, because it can be changed into a prime (13213031311) 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, 1864823 + ... + 1871894.

Almost surely, 213213031312 is an apocalyptic number.

It is an amenable number.

13213031312 is an abundant number, since it is smaller than the sum of its proper divisors (15978209704).

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

13213031312 is a wasteful number, since it uses less digits than its factorization.

13213031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736755 (or 3736749 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13213031312 its reverse (21313031231), we get a palindrome (34526062543).

The spelling of 13213031312 in words is "thirteen billion, two hundred thirteen million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 3736717 7473434 14946868 29893736 48577321 59787472 63524189 97154642 127048378 194309284 254096756 388618568 508193512 777237136 825814457 1016387024 1651628914 3303257828 6606515656 13213031312