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10011223344 = 243472263359
BaseRepresentation
bin10010101001011011…
…10010010100110000
3221211200212211122210
421110231302110300
5131000333121334
64333223132120
7503041665033
oct112455622460
927750784583
1010011223344
114278090301
121b348a4040
13c37119ac5
146ad84501a
153d8d785e9
hex254b72530

10011223344 has 120 divisors (see below), whose sum is σ = 26598654720. Its totient is φ = 3244591232.

The previous prime is 10011223289. The next prime is 10011223349. The reversal of 10011223344 is 44332211001.

It is a self number, because there is not a number n which added to its sum of digits gives 10011223344.

It is not an unprimeable number, because it can be changed into a prime (10011223349) 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, 27886237 + ... + 27886595.

It is an arithmetic number, because the mean of its divisors is an integer number (221655456).

Almost surely, 210011223344 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 10011223344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13299327360).

10011223344 is an abundant number, since it is smaller than the sum of its proper divisors (16587431376).

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

10011223344 is a wasteful number, since it uses less digits than its factorization.

10011223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10011223344 its reverse (44332211001), we get a palindrome (54343434345).

The spelling of 10011223344 in words is "ten billion, eleven million, two hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 263 282 359 376 526 564 718 752 789 1052 1077 1128 1436 1578 2104 2154 2209 2256 2872 3156 4208 4308 4418 5744 6312 6627 8616 8836 12361 12624 13254 16873 17232 17672 24722 26508 33746 35344 37083 49444 50619 53016 67492 74166 94417 98888 101238 106032 134984 148332 188834 197776 202476 269968 283251 296664 377668 404952 566502 580967 593328 755336 793031 809904 1133004 1161934 1510672 1586062 1742901 2266008 2323868 2379093 3172124 3485802 4437599 4532016 4647736 4758186 6344248 6971604 8875198 9295472 9516372 12688496 13312797 13943208 17750396 19032744 26625594 27886416 35500792 38065488 53251188 71001584 106502376 208567153 213004752 417134306 625701459 834268612 1251402918 1668537224 2502805836 3337074448 5005611672 10011223344