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12180204217 = 172389299909
BaseRepresentation
bin10110101011111111…
…10010101010111001
31011102212012111001201
423111333302222321
5144421113013332
65332344014201
7610560012316
oct132577625271
934385174051
1012180204217
115190453785
12243b161361
1311c15aa63c
14837929d0d
154b44b95e7
hex2d5ff2ab9

12180204217 has 8 divisors (see below), whose sum is σ = 12902128200. Its totient is φ = 11458884864.

The previous prime is 12180204193. The next prime is 12180204227. The reversal of 12180204217 is 71240208121.

It can be written as a sum of positive squares in 4 ways, for example, as 1475404921 + 10704799296 = 38411^2 + 103464^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12180204217 - 219 = 12179679929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12180204227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109342 + ... + 190567.

It is an arithmetic number, because the mean of its divisors is an integer number (1612766025).

Almost surely, 212180204217 is an apocalyptic number.

12180204217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

12180204217 is a deficient number, since it is larger than the sum of its proper divisors (721923983).

12180204217 is a wasteful number, since it uses less digits than its factorization.

12180204217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302315.

The product of its (nonzero) digits is 1792, while the sum is 28.

The spelling of 12180204217 in words is "twelve billion, one hundred eighty million, two hundred four thousand, two hundred seventeen".

Divisors: 1 17 2389 40613 299909 5098453 716482601 12180204217