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110012012011 = 11233135813917
BaseRepresentation
bin110011001110100111…
…0100001010111101011
3101111221221000020202101
41212131032201113223
53300301033341021
6122312215114231
710643125446616
oct1463516412753
9344857006671
10110012012011
1142723a049a0
12193a2972977
13a4b2b444c5
145478a2d17d
152cdd1bba91
hex199d3a15eb

110012012011 has 32 divisors (see below), whose sum is σ = 129339887616. Its totient is φ = 92527248000.

The previous prime is 110012011961. The next prime is 110012012023. The reversal of 110012012011 is 110210210011.

It is not a de Polignac number, because 110012012011 - 217 = 110011880939 is a prime.

It is a super-3 number, since 3×1100120120113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110012012711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28083825 + ... + 28087741.

It is an arithmetic number, because the mean of its divisors is an integer number (4041871488).

Almost surely, 2110012012011 is an apocalyptic number.

110012012011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110012012011 is a deficient number, since it is larger than the sum of its proper divisors (19327875605).

110012012011 is a wasteful number, since it uses less digits than its factorization.

110012012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7563.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110012012011 its reverse (110210210011), we get a palindrome (220222222022).

The spelling of 110012012011 in words is "one hundred ten billion, twelve million, twelve thousand, eleven".

Divisors: 1 11 23 31 253 341 713 3581 3917 7843 39391 43087 82363 90091 111011 121427 905993 991001 1221121 1335697 2553253 2792821 14026777 28085783 30721031 154294547 322615871 434830087 3548774581 4783130957 10001092001 110012012011