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2012013110331 = 327307227345767
BaseRepresentation
bin11101010001110101010…
…100111010010000111011
321010100100122122002022100
4131101311110322100323
5230431100324012311
64140150035354443
7265235363154240
oct35216524722073
97110318562270
102012013110331
11706320a47444
12285b37152a23
13117969339393
146d54c1215c7
153750c98ca56
hex1d47553a43b

2012013110331 has 48 divisors (see below), whose sum is σ = 3333776269824. Its totient is φ = 1145447557632.

The previous prime is 2012013110287. The next prime is 2012013110339. The reversal of 2012013110331 is 1330113102102.

2012013110331 is a `hidden beast` number, since 2 + 0 + 1 + 20 + 1 + 311 + 0 + 331 = 666.

It is not a de Polignac number, because 2012013110331 - 27 = 2012013110203 is a prime.

It is a super-2 number, since 2×20120131103312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012013110339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43939210 + ... + 43984976.

It is an arithmetic number, because the mean of its divisors is an integer number (69453672288).

Almost surely, 22012013110331 is an apocalyptic number.

2012013110331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2012013110331 is a deficient number, since it is larger than the sum of its proper divisors (1321763159493).

2012013110331 is a wasteful number, since it uses less digits than its factorization.

2012013110331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48360 (or 48357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2012013110331 its reverse (1330113102102), we get a palindrome (3342126212433).

The spelling of 2012013110331 in words is "two trillion, twelve billion, thirteen million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 307 921 2149 2273 2763 6447 6819 15911 19341 20457 45767 47733 137301 143199 320369 411903 697811 961107 2093433 2883321 4884677 6280299 14050469 14654031 42151407 43962093 98353283 104028391 126454221 295059849 312085173 728198737 885179547 936255519 2184596211 6553788633 31936716037 95810148111 223557012259 287430444333 670671036777 2012013110331