Search a number
-
+
12322310321230 = 25713311492931587
BaseRepresentation
bin1011001101010000001011…
…1011011111010001001110
31121122000000222210212201021
42303110002323133101032
53103342042420234410
642112442522504354
72411154223361230
oct263240273372116
947560028725637
1012322310321230
113a20953a30708
1214701909650ba
136b4cb17430b0
1430858dba0250
151657e90a9eda
hexb3502edf44e

12322310321230 has 128 divisors (see below), whose sum is σ = 28368390758400. Its totient is φ = 3748677649920.

The previous prime is 12322310321171. The next prime is 12322310321263. The reversal of 12322310321230 is 3212301322321.

It is a junction number, because it is equal to n+sod(n) for n = 12322310321195 and 12322310321204.

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, 2737497 + ... + 5669083.

It is an arithmetic number, because the mean of its divisors is an integer number (221628052800).

Almost surely, 212322310321230 is an apocalyptic number.

12322310321230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12322310321230 is an abundant number, since it is smaller than the sum of its proper divisors (16046080437170).

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

12322310321230 is a wasteful number, since it uses less digits than its factorization.

12322310321230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931794.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12322310321230 its reverse (3212301322321), we get a palindrome (15534611643551).

The spelling of 12322310321230 in words is "twelve trillion, three hundred twenty-two billion, three hundred ten million, three hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 5 7 10 13 14 26 31 35 62 65 70 91 130 149 155 182 217 298 310 403 434 455 745 806 910 1043 1085 1490 1937 2015 2086 2170 2821 3874 4030 4619 5215 5642 9238 9685 10430 13559 14105 19370 23095 27118 28210 32333 46190 60047 64666 67795 120094 135590 161665 300235 323330 420329 600470 840658 2101645 2931587 4203290 5863174 14657935 20521109 29315870 38110631 41042218 76221262 90879197 102605545 181758394 190553155 205211090 266774417 381106310 436806463 454395985 533548834 636154379 873612926 908791970 1181429561 1272308758 1333872085 2184032315 2362859122 2667744170 3057645241 3180771895 4368064630 5678484019 5907147805 6115290482 6361543790 8270006927 11356968038 11814295610 13541000353 15288226205 16540013854 27082000706 28392420095 30576452410 39749388133 41350034635 56784840190 67705001765 79498776266 82700069270 94787002471 135410003530 176033004589 189574004942 198746940665 352066009178 397493881330 473935012355 880165022945 947870024710 1232231032123 1760330045890 2464462064246 6161155160615 12322310321230