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321424310342300 = 2252115351283107507
BaseRepresentation
bin100100100010101010110110…
…1110101110001001010011100
31120011001212022211121020021212
41021011111231311301022130
5314112203441421423200
63055340142324043552
7124463066022615404
oct11105255565611234
91504055284536255
10321424310342300
1193463314745830
12300722272335b8
1310a4724a99b139
14595303bc01804
152725eb5be9035
hex124556dd7129c

321424310342300 has 144 divisors (see below), whose sum is σ = 775277917287552. Its totient is φ = 114672951993600.

The previous prime is 321424310342243. The next prime is 321424310342323. The reversal of 321424310342300 is 3243013424123.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2989745147 + ... + 2989852653.

It is an arithmetic number, because the mean of its divisors is an integer number (5383874425608).

Almost surely, 2321424310342300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321424310342300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387638958643776).

321424310342300 is an abundant number, since it is smaller than the sum of its proper divisors (453853606945252).

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

321424310342300 is a wasteful number, since it uses less digits than its factorization.

321424310342300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158868 (or 158861 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 321424310342300 its reverse (3243013424123), we get a palindrome (324667323766423).

The spelling of 321424310342300 in words is "three hundred twenty-one trillion, four hundred twenty-four billion, three hundred ten million, three hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 51283 58300 102566 107507 205132 215014 256415 430028 512830 537535 564113 1025660 1075070 1128226 1182577 1282075 2150140 2256452 2365154 2564150 2687675 2717999 2820565 4730308 5128300 5375350 5435998 5641130 5697871 5912885 10750700 10871996 11282260 11395742 11825770 13589995 14102825 22791484 23651540 27179990 28205650 28489355 29564425 29897989 54359980 56411300 56978710 59128850 59795978 62676581 67949975 113957420 118257700 119591956 125353162 135899950 142446775 149489945 250706324 271799900 284893550 298979890 313382905 569787100 597959780 626765810 747449725 1253531620 1494899450 1566914525 2989798900 3133829050 5513281481 6267658100 11026562962 22053125924 27566407405 55132814810 60646096291 110265629620 121292192582 137832037025 242584385164 275664074050 292203918493 303230481455 551328148100 584407836986 606460962910 1168815673972 1212921925820 1461019592465 1516152407275 2922039184930 3032304814550 3214243103423 5844078369860 6064609629100 6428486206846 7305097962325 12856972413692 14610195924650 16071215517115 29220391849300 32142431034230 64284862068460 80356077585575 160712155171150 321424310342300