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13012221012 = 2237533478423
BaseRepresentation
bin11000001111001011…
…01011110001010100
31020120211210022112120
430013211223301110
5203122112033022
65551105015540
7640312024260
oct140745536124
936524708476
1013012221012
11557807226a
1226319245b0
1312c4a9047b
148b622b0a0
15512567d5c
hex30796bc54

13012221012 has 96 divisors (see below), whose sum is σ = 35460052992. Its totient is φ = 3636686976.

The previous prime is 13012221007. The next prime is 13012221031. The reversal of 13012221012 is 21012221031.

13012221012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13012220982 and 13012221000.

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 31 ways as a sum of consecutive naturals, for example, 1540633 + ... + 1549055.

It is an arithmetic number, because the mean of its divisors is an integer number (369375552).

Almost surely, 213012221012 is an apocalyptic number.

13012221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13012221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17730026496).

13012221012 is an abundant number, since it is smaller than the sum of its proper divisors (22447831980).

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

13012221012 is a wasteful number, since it uses less digits than its factorization.

13012221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8837 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13012221012 its reverse (21012221031), we get a palindrome (34024442043).

The spelling of 13012221012 in words is "thirteen billion, twelve million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 53 84 106 159 212 318 347 371 636 694 742 1041 1113 1388 1484 2082 2226 2429 4164 4452 4858 7287 8423 9716 14574 16846 18391 25269 29148 33692 36782 50538 55173 58961 73564 101076 110346 117922 128737 176883 220692 235844 257474 353766 386211 446419 514948 707532 772422 892838 1339257 1544844 1785676 2678514 2922781 3124933 5357028 5845562 6249866 8768343 9374799 11691124 12499732 17536686 18749598 20459467 35073372 37499196 40918934 61378401 81837868 122756802 154907393 245513604 309814786 464722179 619629572 929444358 1084351751 1858888716 2168703502 3253055253 4337407004 6506110506 13012221012