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11010130011331 = 1121014432033677
BaseRepresentation
bin1010000000110111111011…
…1000110110010011000011
31102222120001220001120110021
42200031332320312103003
52420342221240330311
635225552304514311
72214312166644133
oct240157670662303
942876056046407
1011010130011331
1135654083a3400
121299a0631b997
1361b3350321b9
142a0c70a9cac3
151415eab99171
hexa037ee364c3

11010130011331 has 24 divisors (see below), whose sum is σ = 12249460832112. Its totient is φ = 9887732712000.

The previous prime is 11010130011323. The next prime is 11010130011379. The reversal of 11010130011331 is 13311003101011.

11010130011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11010130011331 - 23 = 11010130011323 is a prime.

It is a super-3 number, since 3×110101300113313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010130011731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4397065 + ... + 6430741.

It is an arithmetic number, because the mean of its divisors is an integer number (510394201338).

Almost surely, 211010130011331 is an apocalyptic number.

11010130011331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11010130011331 is a deficient number, since it is larger than the sum of its proper divisors (1239330820781).

11010130011331 is a wasteful number, since it uses less digits than its factorization.

11010130011331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034243 (or 2034232 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 11010130011331 its reverse (13311003101011), we get a palindrome (24321133112342).

The spelling of 11010130011331 in words is "eleven trillion, ten billion, one hundred thirty million, eleven thousand, three hundred thirty-one".

Divisors: 1 11 101 121 443 1111 4873 12221 44743 53603 492173 2033677 5413903 22370447 205401377 246074917 900918911 2259415147 9910108021 24853566617 90992810011 109011188231 1000920910121 11010130011331