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12422233017 = 325689242617
BaseRepresentation
bin10111001000110110…
…00011101110111001
31012001201121211011100
423210123003232321
5200420042424032
65412351322013
7616556144535
oct134433035671
935051554140
1012422233017
1152a5032587
1224a8220309
13122c78ba4c
1485bb2cbc5
154ca87697c
hex2e46c3bb9

12422233017 has 12 divisors (see below), whose sum is σ = 17946453460. Its totient is φ = 8279998848.

The previous prime is 12422232973. The next prime is 12422233111. The reversal of 12422233017 is 71033222421.

12422233017 is a `hidden beast` number, since 1 + 2 + 422 + 233 + 0 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5730338601 + 6691894416 = 75699^2 + 81804^2 .

It is not a de Polignac number, because 12422233017 - 216 = 12422167481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12422433017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70108 + ... + 172509.

Almost surely, 212422233017 is an apocalyptic number.

It is an amenable number.

12422233017 is a deficient number, since it is larger than the sum of its proper divisors (5524220443).

12422233017 is a wasteful number, since it uses less digits than its factorization.

12422233017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248312 (or 248309 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 12422233017 its reverse (71033222421), we get a palindrome (83455455438).

The spelling of 12422233017 in words is "twelve billion, four hundred twenty-two million, two hundred thirty-three thousand, seventeen".

Divisors: 1 3 9 5689 17067 51201 242617 727851 2183553 1380248113 4140744339 12422233017