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12200271 = 3172973113
BaseRepresentation
bin101110100010…
…100101001111
3211221211121220
4232202211033
511110402041
61113254423
7205462206
oct56424517
924854556
1012200271
116983276
124104413
1326b21c5
14189823d
15110ed66
hexba294f

12200271 has 32 divisors (see below), whose sum is σ = 18221760. Its totient is φ = 7225344.

The previous prime is 12200263. The next prime is 12200291. The reversal of 12200271 is 17200221.

It is not a de Polignac number, because 12200271 - 23 = 12200263 is a prime.

It is a super-2 number, since 2×122002712 = 297693224946882, which contains 22 as substring.

12200271 is a modest number, since divided by 271 gives 122 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 12200271.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107911 + ... + 108023.

It is an arithmetic number, because the mean of its divisors is an integer number (569430).

Almost surely, 212200271 is an apocalyptic number.

12200271 is a deficient number, since it is larger than the sum of its proper divisors (6021489).

12200271 is a wasteful number, since it uses less digits than its factorization.

12200271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235.

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 12200271 is about 3492.8886326363. Note that the first 3 decimals coincide. The cubic root of 12200271 is about 230.2094563274.

Adding to 12200271 its reverse (17200221), we get a palindrome (29400492).

The spelling of 12200271 in words is "twelve million, two hundred thousand, two hundred seventy-one".

Divisors: 1 3 17 29 51 73 87 113 219 339 493 1241 1479 1921 2117 3277 3723 5763 6351 8249 9831 24747 35989 55709 107967 140233 167127 239221 420699 717663 4066757 12200271