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110211020112011 = 7135920527290019
BaseRepresentation
bin11001000011110010000000…
…101101000100000010001011
3112110020001220111010011100012
4121003302000231010002023
5103421144132122041021
61030222124345102135
732133324551053160
oct3103620055040213
9473201814104305
10110211020112011
113213125a726685
121043b77378794b
134965b1573a370
141d3035584a067
15cb1c9539a35b
hex643c80b4408b

110211020112011 has 16 divisors (see below), whose sum is σ = 137943388934400. Its totient is φ = 85721963115168.

The previous prime is 110211020111993. The next prime is 110211020112049.

110211020112011 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 110211020112011 - 242 = 105812973600907 is a prime.

It is a super-3 number, since 3×1102110201120113 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (110211020112091) 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, 10263639641 + ... + 10263650378.

It is an arithmetic number, because the mean of its divisors is an integer number (8621461808400).

Almost surely, 2110211020112011 is an apocalyptic number.

110211020112011 is a deficient number, since it is larger than the sum of its proper divisors (27732368822389).

110211020112011 is a wasteful number, since it uses less digits than its factorization.

110211020112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20527290098.

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

The spelling of 110211020112011 in words is "one hundred ten trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, eleven".

Divisors: 1 7 13 59 91 413 767 5369 20527290019 143691030133 266854770247 1211110111121 1867983391729 8477770777847 15744431444573 110211020112011