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12313332302310 = 2335134381583067
BaseRepresentation
bin1011001100101110101111…
…0011000100000111100110
31121121010212022002021002000
42303023223303010013212
53103220201032133220
642104400004430130
72410415565440034
oct263135363040746
947533768067060
1012313332302310
113a18067093166
12146a4a60a8346
136b41b06bab70
14307d7b66b554
15165470cc1390
hexb32ebcc41e6

12313332302310 has 128 divisors (see below), whose sum is σ = 36183722319360. Its totient is φ = 2960486299008.

The previous prime is 12313332302309. The next prime is 12313332302333. The reversal of 12313332302310 is 1320323331321.

12313332302310 is a `hidden beast` number, since 1 + 2 + 3 + 13 + 3 + 32 + 302 + 310 = 666.

It is a super-2 number, since 2×123133323023102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 40640604 + ... + 40942463.

It is an arithmetic number, because the mean of its divisors is an integer number (282685330620).

Almost surely, 212313332302310 is an apocalyptic number.

12313332302310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12313332302310 is an abundant number, since it is smaller than the sum of its proper divisors (23870390017050).

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

12313332302310 is a wasteful number, since it uses less digits than its factorization.

12313332302310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81583139 (or 81583133 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 12313332302310 its reverse (1320323331321), we get a palindrome (13633655633631).

The spelling of 12313332302310 in words is "twelve trillion, three hundred thirteen billion, three hundred thirty-two million, three hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 25155 30186 50310 75465 150930 81583067 163166134 244749201 407915335 489498402 734247603 815830670 1060579871 1223746005 1468495206 2121159742 2202742809 2447492010 3181739613 3508071881 3671238015 4405485618 5302899355 6363479226 7016143762 7342476030 9545218839 10524215643 10605798710 11013714045 15908698065 17540359405 19090437678 21048431286 22027428090 28635656517 31572646929 31817396130 35080718810 45604934453 47726094195 52621078215 57271313034 63145293858 91209868906 94717940787 95452188390 105242156430 136814803359 143178282585 157863234645 189435881574 228024672265 273629606718 286356565170 315726469290 410444410077 456049344530 473589703935 684074016795 820888820154 947179407870 1231333230231 1368148033590 2052222050385 2462666460462 4104444100770 6156666151155 12313332302310