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1011221211011 = 11260113905491
BaseRepresentation
bin11101011011100010111…
…10110010011110000011
310120200010202010000011212
432231301132302132003
5113031440112223021
62052314300000335
7133026001320644
oct16556136623603
93520122100155
101011221211011
1135a947013900
12143b93b300ab
1374485c95b7b
1436d2c85b6cb
151b48694e85b
hexeb717b2783

1011221211011 has 12 divisors (see below), whose sum is σ = 1113357122472. Its totient is φ = 917762340000.

The previous prime is 1011221211001. The next prime is 1011221211017. The reversal of 1011221211011 is 1101121221101.

It is not a de Polignac number, because 1011221211011 - 218 = 1011220948867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011221211017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6880025 + ... + 7025466.

It is an arithmetic number, because the mean of its divisors is an integer number (92779760206).

Almost surely, 21011221211011 is an apocalyptic number.

1011221211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011221211011 is a deficient number, since it is larger than the sum of its proper divisors (102135911461).

1011221211011 is a wasteful number, since it uses less digits than its factorization.

1011221211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906114 (or 13906103 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1011221211011 its reverse (1101121221101), we get a palindrome (2112342432112).

The spelling of 1011221211011 in words is "one trillion, eleven billion, two hundred twenty-one million, two hundred eleven thousand, eleven".

Divisors: 1 11 121 601 6611 72721 13905491 152960401 1682564411 8357200091 91929201001 1011221211011