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241315116112312 = 231117594597594739
BaseRepresentation
bin110110110111100110001101…
…110001100101100110111000
31011122102111111100112120221121
4312313212031301211212320
5223112201324211043222
62213122344532115024
7101554304352032224
oct6667461561454670
91148374440476847
10241315116112312
116a988190a78510
12230945a0165a74
13a485bc1562318
1443839dd095784
151cd725ecce5c7
hexdb798dc659b8

241315116112312 has 128 divisors (see below), whose sum is σ = 531609062688000. Its totient is φ = 101464396277760.

The previous prime is 241315116112307. The next prime is 241315116112457. The reversal of 241315116112312 is 213211611513142.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405452239 + ... + 406046977.

It is an arithmetic number, because the mean of its divisors is an integer number (4153195802250).

Almost surely, 2241315116112312 is an apocalyptic number.

241315116112312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241315116112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265804531344000).

241315116112312 is an abundant number, since it is smaller than the sum of its proper divisors (290293946575688).

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

241315116112312 is a wasteful number, since it uses less digits than its factorization.

241315116112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599429 (or 599425 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

Adding to 241315116112312 its reverse (213211611513142), we get a palindrome (454526727625454).

The spelling of 241315116112312 in words is "two hundred forty-one trillion, three hundred fifteen billion, one hundred sixteen million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 59 68 88 118 136 187 236 374 472 649 748 1003 1298 1496 2006 2596 4012 4597 5192 8024 9194 11033 18388 22066 36776 44132 50567 78149 88264 101134 156298 202268 271223 312596 404536 542446 594739 625192 859639 1084892 1189478 1719278 2169784 2378956 2983453 3438556 4610791 4757912 5966906 6542129 6877112 9221582 10110563 11933812 13084258 18443164 20221126 23867624 26168516 35089601 36886328 40442252 50718701 52337032 70179202 80884504 101437402 111216193 140358404 202874804 222432386 280716808 385985611 405749608 444864772 596523217 771971222 889729544 1193046434 1543942444 2386092868 2734015183 3087884888 4772185736 5468030366 6561755387 10936060732 13123510774 21872121464 26247021548 30074167013 46478258111 52494043096 60148334026 92956516222 120296668052 161306895797 185913032444 240593336104 322613791594 371826064888 511260839221 645227583188 1022521678442 1290455166376 1774375853767 2045043356884 2742217228549 3548751707534 4090086713768 5484434457098 7097503415068 10968868914196 14195006830136 21937737828392 30164389514039 60328779028078 120657558056156 241315116112312