Search a number
-
+
243121241320 = 23529376192861
BaseRepresentation
bin1110001001101100100…
…1111011110011101000
3212020112112111201011021
43202123021323303220
512440403014210240
6303404403542224
723364525311506
oct3423311736350
9766475451137
10243121241320
119411a66a021
123b15098a974
1319c06c25b99
14baa5015676
1564cde9d54a
hex389b27bce8

243121241320 has 128 divisors (see below), whose sum is σ = 590713754400. Its totient is φ = 89858764800.

The previous prime is 243121241317. The next prime is 243121241323. The reversal of 243121241320 is 23142121342.

It is an interprime number because it is at equal distance from previous prime (243121241317) and next prime (243121241323).

It can be written as a sum of positive squares in 16 ways, for example, as 350213796 + 242771027524 = 18714^2 + 492718^2 .

It is not an unprimeable number, because it can be changed into a prime (243121241323) 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, 2571690 + ... + 2664550.

Almost surely, 2243121241320 is an apocalyptic number.

243121241320 is a gapful number since it is divisible by the number (20) 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 243121241320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295356877200).

243121241320 is an abundant number, since it is smaller than the sum of its proper divisors (347592513080).

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

243121241320 is a wasteful number, since it uses less digits than its factorization.

243121241320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92999 (or 92995 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 243121241320 its reverse (23142121342), we get a palindrome (266263362662).

The spelling of 243121241320 in words is "two hundred forty-three billion, one hundred twenty-one million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 61 74 116 122 145 148 185 232 244 290 296 305 370 488 580 610 740 1073 1160 1220 1480 1769 2146 2257 2440 3538 4292 4514 5365 7076 8584 8845 9028 10730 11285 14152 17690 18056 21460 22570 35380 42920 45140 65453 70760 90280 92861 130906 185722 261812 327265 371444 464305 523624 654530 742888 928610 1309060 1857220 2618120 2692969 3435857 3714440 5385938 5664521 6871714 10771876 11329042 13464845 13743428 17179285 21543752 22658084 26929690 27486856 28322605 34358570 45316168 53859380 56645210 68717140 99639853 107718760 113290420 137434280 164271109 199279706 209587277 226580840 328542218 398559412 419174554 498199265 657084436 797118824 821355545 838349108 996398530 1047936385 1314168872 1642711090 1676698216 1992797060 2095872770 3285422180 3985594120 4191745540 6078031033 6570844360 8383491080 12156062066 24312124132 30390155165 48624248264 60780310330 121560620660 243121241320