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321300013312212 = 2231171189591808269
BaseRepresentation
bin100100100001110000111110…
…1001010001110100011010100
31120010121222111100210212122220
41021003201331022032203110
5314103134411401442322
63055203104411222340
7124451105565366444
oct11103417512164324
91503558440725586
10321300013312212
1193415630271380
12300521184479b0
1310a385cc49431c
14594b009d06124
152722b3d89955c
hex124387d28e8d4

321300013312212 has 96 divisors (see below), whose sum is σ = 829417862246400. Its totient is φ = 95987205283200.

The previous prime is 321300013312193. The next prime is 321300013312261. The reversal of 321300013312212 is 212213310003123.

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, 176779614 + ... + 178587882.

It is an arithmetic number, because the mean of its divisors is an integer number (8639769398400).

Almost surely, 2321300013312212 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 321300013312212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414708931123200).

321300013312212 is an abundant number, since it is smaller than the sum of its proper divisors (508117848934188).

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

321300013312212 is a wasteful number, since it uses less digits than its factorization.

321300013312212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827317 (or 1827315 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 321300013312212 its reverse (212213310003123), we get a palindrome (533513323315335).

The spelling of 321300013312212 in words is "three hundred twenty-one trillion, three hundred billion, thirteen million, three hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 18959 37918 56877 75836 113754 208549 227508 417098 625647 834196 1251294 1346089 1808269 2502588 2692178 3616538 4038267 5384356 5424807 7233076 8076534 10849614 14806979 16153068 19890959 21699228 29613958 39781918 44420937 59227916 59672877 79563836 88841874 119345754 128387099 177683748 238691508 256774198 385161297 513548396 770322594 1412258089 1540645188 2824516178 4236774267 5649032356 8473548534 16947097068 34282971971 68565943942 102848915913 137131887884 205697831826 377112691681 411395663652 754225383362 1131338075043 1508450766724 2262676150086 2434091009941 4525352300172 4868182019882 7302273029823 9736364039764 14604546059646 26775001109351 29209092119292 53550002218702 80325003328053 107100004437404 160650006656106 321300013312212