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12053144322 = 23211322292
BaseRepresentation
bin10110011100110110…
…00110001100000010
31011010000010011122200
423032123012030002
5144141101104242
65312004414030
7604455015312
oct131633061402
934100104580
1012053144322
11512575a7aa
1224046a7316
1311a118117b
14824ad3442
154a826c04c
hex2ce6c6302

12053144322 has 54 divisors (see below), whose sum is σ = 26463859227. Its totient is φ = 3964770432.

The previous prime is 12053144303. The next prime is 12053144329. The reversal of 12053144322 is 22344135021.

12053144322 is a `hidden beast` number, since 1 + 20 + 5 + 314 + 4 + 322 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 4454361081 + 7598783241 = 66741^2 + 87171^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=77631.

It is not an unprimeable number, because it can be changed into a prime (12053144329) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 52633704 + ... + 52633932.

Almost surely, 212053144322 is an apocalyptic number.

12053144322 is an abundant number, since it is smaller than the sum of its proper divisors (14410714905).

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

12053144322 is an equidigital number, since it uses as much as digits as its factorization.

12053144322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12053144322 its reverse (22344135021), we get a palindrome (34397279343).

The spelling of 12053144322 in words is "twelve billion, fifty-three million, one hundred forty-four thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 113 226 229 339 458 678 687 1017 1374 2034 2061 4122 12769 25538 25877 38307 51754 52441 76614 77631 104882 114921 155262 157323 229842 232893 314646 465786 471969 943938 2924101 5848202 5925833 8772303 11851666 17544606 17777499 26316909 35554998 52633818 53332497 106664994 669619129 1339238258 2008857387 4017714774 6026572161 12053144322