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13311334112 = 256131321787
BaseRepresentation
bin11000110010110101…
…01101011011100000
31021100200121211120112
430121122231123200
5204230200142422
610040512030452
7650603321156
oct143132553340
937320554515
1013311334112
1157109a037a
1226b5b32428
131341a3a67b
14903c4d3d6
1552d94dee2
hex3196ad6e0

13311334112 has 48 divisors (see below), whose sum is σ = 26722633392. Its totient is φ = 6525342720.

The previous prime is 13311334081. The next prime is 13311334123. The reversal of 13311334112 is 21143311331.

13311334112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 600083 + ... + 621869.

It is an arithmetic number, because the mean of its divisors is an integer number (556721529).

Almost surely, 213311334112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13361316696).

13311334112 is an abundant number, since it is smaller than the sum of its proper divisors (13411299280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13311334112 is a wasteful number, since it uses less digits than its factorization.

13311334112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22171 (or 22163 counting only the distinct ones).

The product of its digits is 648, while the sum is 23.

Adding to 13311334112 its reverse (21143311331), we get a palindrome (34454645443).

The spelling of 13311334112 in words is "thirteen billion, three hundred eleven million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 244 313 488 626 976 1252 1952 2504 5008 10016 19093 21787 38186 43574 76372 87148 152744 174296 305488 348592 610976 697184 1329007 2658014 5316028 6819331 10632056 13638662 21264112 27277324 42528224 54554648 109109296 218218592 415979191 831958382 1663916764 3327833528 6655667056 13311334112