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103312303110320 = 24543317811116819
BaseRepresentation
bin10111011111011001000101…
…001000001011100010110000
3111112210120010000222121000112
4113133121011020023202300
5102020132044044012240
61003421003345440452
730522032116061213
oct2737310510134260
9445716100877015
10103312303110320
112aa1155783a017
12b706749340128
134585401685985
141b724b0c0b77a
15be25cb868665
hex5df64520b8b0

103312303110320 has 160 divisors (see below), whose sum is σ = 246868666894080. Its totient is φ = 40186588216320.

The previous prime is 103312303110299. The next prime is 103312303110323. The reversal of 103312303110320 is 23011303213301.

It is not an unprimeable number, because it can be changed into a prime (103312303110323) 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, 884320871 + ... + 884437689.

It is an arithmetic number, because the mean of its divisors is an integer number (1542929168088).

Almost surely, 2103312303110320 is an apocalyptic number.

103312303110320 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 103312303110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123434333447040).

103312303110320 is an abundant number, since it is smaller than the sum of its proper divisors (143556363783760).

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

103312303110320 is a wasteful number, since it uses less digits than its factorization.

103312303110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118003 (or 117997 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103312303110320 its reverse (23011303213301), we get a palindrome (126323606323621).

The spelling of 103312303110320 in words is "one hundred three trillion, three hundred twelve billion, three hundred three million, one hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 317 344 430 634 688 811 860 1268 1585 1622 1720 2536 3170 3244 3440 4055 5072 6340 6488 8110 12680 12976 13631 16220 25360 27262 32440 34873 54524 64880 68155 69746 109048 116819 136310 139492 174365 218096 233638 257087 272620 278984 348730 467276 514174 545240 557968 584095 697460 934552 1028348 1090480 1168190 1285435 1394920 1869104 2056696 2336380 2570870 2789840 4113392 4672760 5023217 5141740 9345520 10046434 10283480 11054741 20092868 20566960 22109482 25116085 37031623 40185736 44218964 50232170 55273705 74063246 80371472 88437928 94740209 100464340 110547410 148126492 176875856 185158115 189480418 200928680 221094820 296252984 370316230 378960836 401857360 442189640 473701045 592505968 740632460 757921672 884379280 947402090 1481264920 1515843344 1592359789 1894804180 2962529840 3184719578 3789608360 4073828987 6369439156 7579216720 7961798945 8147657974 12738878312 15923597890 16295315948 20369144935 25477756624 30032646253 31847195780 32590631896 40738289870 60065292506 63694391560 65181263792 81476579740 120130585012 127388783120 150163231265 162953159480 240261170024 300326462530 325906318960 480522340048 600652925060 1201305850120 1291403788879 2402611700240 2582807577758 5165615155516 6457018944395 10331230311032 12914037888790 20662460622064 25828075777580 51656151555160 103312303110320