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1011110012011 = 11235944352543
BaseRepresentation
bin11101011011010101101…
…10100110010001101011
310120122211222212111211101
432231222312212101223
5113031223130341021
62052255244342231
7133023151203421
oct16555266462153
93518758774741
101011110012011
1135a89a273400
12143b62844977
1374468c30b48
1436d1bb93111
151b47bcd6a91
hexeb6ada646b

1011110012011 has 24 divisors (see below), whose sum is σ = 1117018183680. Its totient is φ = 914543950320.

The previous prime is 1011110011997. The next prime is 1011110012021. The reversal of 1011110012011 is 1102100111101.

It is not a de Polignac number, because 1011110012011 - 27 = 1011110011883 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1011110012021) 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 23 ways as a sum of consecutive naturals, for example, 19217206 + ... + 19269748.

It is an arithmetic number, because the mean of its divisors is an integer number (46542424320).

Almost surely, 21011110012011 is an apocalyptic number.

1011110012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011110012011 is a deficient number, since it is larger than the sum of its proper divisors (105908171669).

1011110012011 is a wasteful number, since it uses less digits than its factorization.

1011110012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53367 (or 53356 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011110012011 its reverse (1102100111101), we get a palindrome (2113210123112).

The spelling of 1011110012011 in words is "one trillion, eleven billion, one hundred ten million, twelve thousand, eleven".

Divisors: 1 11 121 359 443 3949 4873 43439 52543 53603 159037 577973 1749407 6357703 18862937 19243477 23276549 207492307 256042039 2282415377 2816462429 8356281091 91919092001 1011110012011