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20103314202320 = 2451673175039437
BaseRepresentation
bin1001001001000101010101…
…11001101101111011010000
32122011212011112100202210112
410210202222321231323100
510113333041413433240
6110431200212020452
74143262603163546
oct444425271557320
978155145322715
1020103314202320
116450849858418
1223081a7301728
13b2a97160902b
144d7011513d96
1524ce0002b665
hex1248aae6ded0

20103314202320 has 160 divisors (see below), whose sum is σ = 47267197705728. Its totient is φ = 7951275444224.

The previous prime is 20103314202299. The next prime is 20103314202341. The reversal of 20103314202320 is 2320241330102.

It is an interprime number because it is at equal distance from previous prime (20103314202299) and next prime (20103314202341).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2130260642 + ... + 2130270078.

Almost surely, 220103314202320 is an apocalyptic number.

20103314202320 is a gapful number since it is divisible by the number (20) 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 20103314202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23633598852864).

20103314202320 is an abundant number, since it is smaller than the sum of its proper divisors (27163883503408).

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

20103314202320 is a wasteful number, since it uses less digits than its factorization.

20103314202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10437 (or 10431 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 20103314202320 its reverse (2320241330102), we get a palindrome (22423555532422).

The spelling of 20103314202320 in words is "twenty trillion, one hundred three billion, three hundred fourteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 317 334 503 634 668 835 1006 1268 1336 1585 1670 2012 2515 2536 2672 3170 3340 4024 5030 5072 6340 6680 8048 9437 10060 12680 13360 18874 20120 25360 37748 40240 47185 52939 75496 84001 94370 105878 150992 159451 168002 188740 211756 264695 318902 336004 377480 420005 423512 529390 637804 672008 754960 797255 840010 847024 1058780 1275608 1344016 1575979 1594510 1680020 2117560 2551216 2991529 3151958 3189020 3360040 4235120 4746811 5983058 6303916 6378040 6720080 7879895 9493622 11966116 12607832 12756080 14957645 15759790 18987244 23734055 23932232 25215664 26628317 29915290 31519580 37974488 47468110 47864464 53256634 59830580 63039160 75948976 94936220 106513268 119661160 126078320 133141585 189872440 213026536 239322320 266283170 379744880 426053072 499585343 532566340 792717437 999170686 1065132680 1504739087 1585434874 1998341372 2130265360 2497926715 3009478174 3170869748 3963587185 3996682744 4995853430 6018956348 6341739496 7523695435 7927174370 7993365488 9991706860 12037912696 12683478992 15047390870 15854348740 19983413720 24075825392 30094781740 31708697480 39966827440 60189563480 63417394960 120379126960 251291427529 502582855058 1005165710116 1256457137645 2010331420232 2512914275290 4020662840464 5025828550580 10051657101160 20103314202320