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13331212344 = 23322326633023
BaseRepresentation
bin11000110101001101…
…00010100000111000
31021102002000202101100
430122212202200320
5204300242243334
610042502051400
7651234302202
oct143246424070
937362022340
1013331212344
11572113816a
122700719b60
131345baa538
14906745772
15530578c99
hex31a9a2838

13331212344 has 96 divisors (see below), whose sum is σ = 37701780480. Its totient is φ = 4247529792.

The previous prime is 13331212343. The next prime is 13331212393. The reversal of 13331212344 is 44321213331.

It is a happy number.

13331212344 is a `hidden beast` number, since 1 + 3 + 3 + 312 + 1 + 2 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331212343) 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, 4408417 + ... + 4411439.

It is an arithmetic number, because the mean of its divisors is an integer number (392726880).

Almost surely, 213331212344 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 13331212344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850890240).

13331212344 is an abundant number, since it is smaller than the sum of its proper divisors (24370568136).

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

13331212344 is a wasteful number, since it uses less digits than its factorization.

13331212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5721 (or 5714 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 13331212344 its reverse (44321213331), we get a palindrome (57652425675).

The spelling of 13331212344 in words is "thirteen billion, three hundred thirty-one million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 2663 3023 5326 6046 7989 9069 10652 12092 15978 18138 21304 23967 24184 27207 31956 36276 47934 54414 61249 63912 69529 72552 95868 108828 122498 139058 183747 191736 208587 217656 244996 278116 367494 417174 489992 551241 556232 625761 734988 834348 1102482 1251522 1469976 1668696 2204964 2503044 4409928 5006088 8050249 16100498 24150747 32200996 48301494 64401992 72452241 96602988 144904482 185155727 193205976 289808964 370311454 555467181 579617928 740622908 1110934362 1481245816 1666401543 2221868724 3332803086 4443737448 6665606172 13331212344