Search a number
-
+
13313013031230 = 235112910191365181
BaseRepresentation
bin1100000110111010110101…
…1010011010000100111110
31202010201012202202000222020
43001232231122122010332
53221110022313444410
644151525212101010
72542555605434433
oct301565532320476
952121182660866
1013313013031230
114273020871a60
1215b0199164766
1375754779c1b3
143404d3525b8a
1518147e4bda70
hexc1bad69a13e

13313013031230 has 128 divisors (see below), whose sum is σ = 36093227788800. Its totient is φ = 3113047257600.

The previous prime is 13313013031177. The next prime is 13313013031261. The reversal of 13313013031230 is 3213031031331.

It is a self number, because there is not a number n which added to its sum of digits gives 13313013031230.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9069240 + ... + 10434420.

It is an arithmetic number, because the mean of its divisors is an integer number (281978342100).

Almost surely, 213313013031230 is an apocalyptic number.

13313013031230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13313013031230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18046613894400).

13313013031230 is an abundant number, since it is smaller than the sum of its proper divisors (22780214757570).

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

13313013031230 is a wasteful number, since it uses less digits than its factorization.

13313013031230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366250.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 13313013031230 its reverse (3213031031331), we get a palindrome (16526044062561).

The spelling of 13313013031230 in words is "thirteen trillion, three hundred thirteen billion, thirteen million, thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1019 1595 1914 2038 3057 3190 4785 5095 6114 9570 10190 11209 15285 22418 29551 30570 33627 56045 59102 67254 88653 112090 147755 168135 177306 295510 325061 336270 443265 650122 886530 975183 1365181 1625305 1950366 2730362 3250610 4095543 4875915 6825905 8191086 9751830 13651810 15016991 20477715 30033982 39590249 40955430 45050973 75084955 79180498 90101946 118770747 150169910 197951245 225254865 237541494 395902490 435492739 450509730 593853735 870985478 1187707470 1306478217 1391119439 2177463695 2612956434 2782238878 4173358317 4354927390 6532391085 6955597195 8346716634 13064782170 13911194390 15302313829 20866791585 30604627658 40342463731 41733583170 45906941487 76511569145 80684927462 91813882974 121027391193 153023138290 201712318655 229534707435 242054782386 403424637310 443767101041 459069414870 605136955965 887534202082 1210273911930 1331301303123 2218835505205 2662602606246 4437671010410 6656506515615 13313013031230