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12800271 = 3113371151
BaseRepresentation
bin110000110101…
…000100001111
3220002022200010
4300311010033
511234102041
61134204303
7213541401
oct60650417
926068603
1012800271
117253040
124353693
132862333
1419b2b71
1511cca16
hexc3510f

12800271 has 16 divisors (see below), whose sum is σ = 18690048. Its totient is φ = 7728000.

The previous prime is 12800267. The next prime is 12800279. The reversal of 12800271 is 17200821.

It is not a de Polignac number, because 12800271 - 22 = 12800267 is a prime.

12800271 is a modest number, since divided by 271 gives 128 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10546 + ... + 11696.

It is an arithmetic number, because the mean of its divisors is an integer number (1168128).

Almost surely, 212800271 is an apocalyptic number.

12800271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12800271 is a deficient number, since it is larger than the sum of its proper divisors (5889777).

12800271 is a wasteful number, since it uses less digits than its factorization.

12800271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502.

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 12800271 is about 3577.7466372006. The cubic root of 12800271 is about 233.9230698971.

The spelling of 12800271 in words is "twelve million, eight hundred thousand, two hundred seventy-one".

Divisors: 1 3 11 33 337 1011 1151 3453 3707 11121 12661 37983 387887 1163661 4266757 12800271