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12771000321 = 317614105111
BaseRepresentation
bin10111110010011011…
…00000000000000001
31012222000220000221220
423321031200000001
5202123334002241
65511130505253
7631322466042
oct137115400001
935860800856
1012771000321
115463995622
122584b95229
131286b02b31
148921988c9
154eb2ba166
hex2f9360001

12771000321 has 16 divisors (see below), whose sum is σ = 18325219968. Its totient is φ = 7881811200.

The previous prime is 12771000293. The next prime is 12771000323. The reversal of 12771000321 is 12300017721.

It is a de Polignac number, because none of the positive numbers 2k-12771000321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12771000291 and 12771000300.

It is not an unprimeable number, because it can be changed into a prime (12771000323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2049445 + ... + 2055666.

It is an arithmetic number, because the mean of its divisors is an integer number (1145326248).

It is a Proth number, since it is equal to 97435 ⋅ 217 + 1 and 97435 < 217.

Almost surely, 212771000321 is an apocalyptic number.

It is an amenable number.

12771000321 is a deficient number, since it is larger than the sum of its proper divisors (5554219647).

12771000321 is a wasteful number, since it uses less digits than its factorization.

12771000321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105192.

The product of its (nonzero) digits is 588, while the sum is 24.

The spelling of 12771000321 in words is "twelve billion, seven hundred seventy-one million, three hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 17 51 61 183 1037 3111 4105111 12315333 69786887 209360661 250411771 751235313 4257000107 12771000321