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10243344013232 = 24112311327182633
BaseRepresentation
bin1001010100001111011011…
…1000011001011110110000
31100021020212020220221121012
42111003312320121132300
52320311332031410412
633441421031450052
72105025420335651
oct225036670313660
940236766827535
1010243344013232
11329a1a5719960
12119528b226928
13593c3527c6b5
14275acd973528
1512b6bd747c22
hex950f6e197b0

10243344013232 has 160 divisors (see below), whose sum is σ = 22876348962816. Its totient is φ = 4397873356800.

The previous prime is 10243344013193. The next prime is 10243344013237. The reversal of 10243344013232 is 23231044334201.

10243344013232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10243344013237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123920588 + ... + 124003220.

Almost surely, 210243344013232 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 10243344013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11438174481408).

10243344013232 is an abundant number, since it is smaller than the sum of its proper divisors (12633004949584).

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

10243344013232 is a wasteful number, since it uses less digits than its factorization.

10243344013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83059 (or 83053 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 10243344013232 its reverse (23231044334201), we get a palindrome (33474388347433).

The spelling of 10243344013232 in words is "ten trillion, two hundred forty-three billion, three hundred forty-four million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 113 176 184 226 253 271 368 452 506 542 904 1012 1084 1243 1808 2024 2168 2486 2599 2981 4048 4336 4972 5198 5962 6233 9944 10396 11924 12466 19888 20792 23848 24932 28589 30623 41584 47696 49864 57178 61246 68563 82633 99728 114356 122492 137126 165266 228712 244984 274252 330532 336853 457424 489968 548504 661064 673706 704329 908963 1097008 1322128 1347412 1408658 1817926 1900559 2694824 2817316 3635852 3801118 5389648 5634632 7271704 7602236 7747619 9337529 11269264 14543408 15204472 15495238 18675058 20906149 22393543 30408944 30990476 37350116 41812298 44787086 61980952 74700232 83624596 89574172 102712819 123961904 149400464 167249192 179148344 205425638 214763167 246328973 334498384 358296688 410851276 429526334 492657946 515051489 821702552 859052668 985315892 1030102978 1643405104 1718105336 1970631784 2060205956 2362394837 2530470359 3436210672 3941263568 4120411912 4724789674 5060940718 5665566379 8240823824 9449579348 10121881436 11331132758 18899158696 20243762872 22662265516 27835173949 37798317392 40487525744 45324531032 55670347898 58200818257 90649062064 111340695796 116401636514 222681391592 232803273028 445362783184 465606546056 640209000827 931213092112 1280418001654 2560836003308 5121672006616 10243344013232