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11271623441 = 13171910972447
BaseRepresentation
bin10100111111101011…
…10101001100010001
31002002112112210112212
422133311311030101
5141041013422231
65102250001505
7546215134631
oct123765651421
932075483485
1011271623441
1148645a0581
122226a16295
1310a829b390
1478cdb86c1
1545e84542b
hex29fd75311

11271623441 has 32 divisors (see below), whose sum is σ = 13547036160. Its totient is φ = 9264900096.

The previous prime is 11271623431. The next prime is 11271623443. The reversal of 11271623441 is 14432617211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11271623441 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11271623398 and 11271623407.

It is not an unprimeable number, because it can be changed into a prime (11271623443) 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 31 ways as a sum of consecutive naturals, for example, 4605080 + ... + 4607526.

It is an arithmetic number, because the mean of its divisors is an integer number (423344880).

Almost surely, 211271623441 is an apocalyptic number.

It is an amenable number.

11271623441 is a deficient number, since it is larger than the sum of its proper divisors (2275412719).

11271623441 is a wasteful number, since it uses less digits than its factorization.

11271623441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593.

The product of its digits is 8064, while the sum is 32.

The spelling of 11271623441 in words is "eleven billion, two hundred seventy-one million, six hundred twenty-three thousand, four hundred forty-one".

Divisors: 1 13 17 19 221 247 323 1097 2447 4199 14261 18649 20843 31811 41599 46493 242437 270959 354331 540787 604409 790381 2684359 4606303 10274953 34896667 45634103 51002821 593243339 663036673 867047957 11271623441