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10334344112 = 241924341609
BaseRepresentation
bin10011001111111100…
…11001001110110000
3222200012220002000122
421213332121032300
5132131043002422
64425244505412
7514044322061
oct114776311660
928605802018
1010334344112
114423516764
122004b4b268
13c89051621
14700716568
15407402d42
hex267f993b0

10334344112 has 60 divisors (see below), whose sum is σ = 21624051240. Its totient is φ = 4781258496.

The previous prime is 10334344099. The next prime is 10334344117. The reversal of 10334344112 is 21144343301.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10334344117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 227564 + ... + 269172.

It is an arithmetic number, because the mean of its divisors is an integer number (360400854).

Almost surely, 210334344112 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 10334344112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812025620).

10334344112 is an abundant number, since it is smaller than the sum of its proper divisors (11289707128).

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

10334344112 is a wasteful number, since it uses less digits than its factorization.

10334344112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41698 (or 41673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 10334344112 its reverse (21144343301), we get a palindrome (31478687413).

The spelling of 10334344112 in words is "ten billion, three hundred thirty-four million, three hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 2888 3268 5776 6536 13072 15523 31046 41609 62092 83218 124184 166436 248368 332872 665744 790571 1581142 1789187 3162284 3578374 6324568 7156748 12649136 14313496 15020849 28626992 30041698 33994553 60083396 67989106 120166792 135978212 240333584 271956424 543912848 645896507 1291793014 2583586028 5167172056 10334344112