Search a number
-
+
211441012301310 = 235112817867289841
BaseRepresentation
bin110000000100110111110010…
…011011011101110111111110
31000201122120012200201212201020
4300010313302123131313332
5210203222143122120220
62025410354325125010
762352052252306551
oct6004676233356776
91021576180655636
10211441012301310
116140a6a2208650
121b86a827259766
1390c9a56a29b7c
143a2db2a15a698
15196a0ec93a040
hexc04df26dddfe

211441012301310 has 128 divisors (see below), whose sum is σ = 555633625010688. Its totient is φ = 51069344256000.

The previous prime is 211441012301203. The next prime is 211441012301447. The reversal of 211441012301310 is 13103210144112.

It is a super-2 number, since 2×2114410123013102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729361990 + ... + 729651830.

It is an arithmetic number, because the mean of its divisors is an integer number (4340887695396).

Almost surely, 2211441012301310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211441012301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277816812505344).

211441012301310 is an abundant number, since it is smaller than the sum of its proper divisors (344192612709378).

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

211441012301310 is a wasteful number, since it uses less digits than its factorization.

211441012301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298010.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211441012301310 its reverse (13103210144112), we get a palindrome (224544222445422).

The spelling of 211441012301310 in words is "two hundred eleven trillion, four hundred forty-one billion, twelve million, three hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 281 330 562 843 1405 1686 2810 3091 4215 6182 7867 8430 9273 15455 15734 18546 23601 30910 39335 46365 47202 78670 86537 92730 118005 173074 236010 259611 289841 432685 519222 579682 865370 869523 1298055 1449205 1739046 2210627 2596110 2898410 3188251 4347615 4421254 6376502 6631881 8695230 9564753 11053135 13263762 15941255 19129506 22106270 24316897 31882510 33159405 47823765 48633794 66318810 72950691 81445321 95647530 121584485 145901382 162890642 243168970 244335963 364753455 407226605 488671926 729506910 814453210 895898531 1221679815 1791797062 2280179147 2443359630 2687695593 4479492655 4560358294 5375391186 6840537441 8958985310 11400895735 13438477965 13681074882 22801791470 25081970617 26876955930 34202687205 50163941234 68405374410 75245911851 125409853085 150491823702 250819706170 376229559255 640730340307 752459118510 1281460680614 1922191020921 3203651701535 3844382041842 6407303403070 7048033743377 9610955104605 14096067486754 19221910209210 21144101230131 35240168716885 42288202460262 70480337433770 105720506150655 211441012301310