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11271406027 = 719125732803
BaseRepresentation
bin10100111111101010…
…00000000111001011
31002002112010202022111
422133311000013023
5141040434443102
65102241203151
7546213241030
oct123765000713
932075122274
1011271406027
1148644621a2
1222269304b7
1310a822342b
1478cd5d387
1545e800cd7
hex29fd401cb

11271406027 has 16 divisors (see below), whose sum is σ = 12999831552. Its totient is φ = 9572935680.

The previous prime is 11271406007. The next prime is 11271406037. The reversal of 11271406027 is 72060417211.

11271406027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-11271406027 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11271406027.

It is not an unprimeable number, because it can be changed into a prime (11271406007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327208 + ... + 360010.

It is an arithmetic number, because the mean of its divisors is an integer number (812489472).

Almost surely, 211271406027 is an apocalyptic number.

11271406027 is a deficient number, since it is larger than the sum of its proper divisors (1728425525).

11271406027 is a wasteful number, since it uses less digits than its factorization.

11271406027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33258.

The product of its (nonzero) digits is 4704, while the sum is 31.

The spelling of 11271406027 in words is "eleven billion, two hundred seventy-one million, four hundred six thousand, twenty-seven".

Divisors: 1 7 191 257 1337 1799 32803 49087 229621 343609 6265373 8430371 43857611 59012597 1610200861 11271406027