Search a number
-
+
13322301213320 = 235112592790733
BaseRepresentation
bin1100000111011101011100…
…0010000000101010001000
31202011121012002002120111022
43001313113002000222020
53221233033102311240
644200103010052012
72543335020614501
oct301672702005210
952147162076438
1013322301213320
114276a577a5700
1215b1b4b87a008
13758397b70128
14340b34d15ba8
15181824b229b5
hexc1dd7080a88

13322301213320 has 144 divisors (see below), whose sum is σ = 33515869455180. Its totient is φ = 4762357431040.

The previous prime is 13322301213289. The next prime is 13322301213343. The reversal of 13322301213320 is 2331210322331.

It can be written as a sum of positive squares in 2 ways, for example, as 13124085707524 + 198215505796 = 3622718^2 + 445214^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13322301213320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16452674 + ... + 17243406.

Almost surely, 213322301213320 is an apocalyptic number.

13322301213320 is a gapful number since it is divisible by the number (10) 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 13322301213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16757934727590).

13322301213320 is an abundant number, since it is smaller than the sum of its proper divisors (20193568241860).

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

13322301213320 is a wasteful number, since it uses less digits than its factorization.

13322301213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790884 (or 790810 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13322301213320 its reverse (2331210322331), we get a palindrome (15653511535651).

The spelling of 13322301213320 in words is "thirteen trillion, three hundred twenty-two billion, three hundred one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 121 220 236 242 295 440 472 484 590 605 649 968 1180 1210 1298 2360 2420 2596 3245 3481 4840 5192 6490 6962 7139 12980 13924 14278 17405 25960 27848 28556 34810 35695 38291 57112 69620 71390 76582 139240 142780 153164 191455 285560 306328 382910 421201 765820 790733 842402 1531640 1581466 1684804 2106005 3162932 3369608 3953665 4212010 6325864 7907330 8424020 8698063 15814660 16848040 17396126 31629320 34792252 43490315 46653247 69584504 86980630 93306494 95678693 173961260 186612988 191357386 233266235 347922520 373225976 382714772 466532470 478393465 513185717 765429544 933064940 956786930 1026371434 1866129880 1913573860 2052742868 2565928585 2752541573 3827147720 4105485736 5131857170 5505083146 5645042887 10263714340 11010166292 11290085774 13762707865 20527428680 22020332584 22580171548 27525415730 28225214435 30277957303 45160343096 55050831460 56450428870 60555914606 110101662920 112900857740 121111829212 151389786515 225801715480 242223658424 302779573030 333057530333 605559146060 666115060666 1211118292120 1332230121332 1665287651665 2664460242664 3330575303330 6661150606660 13322301213320