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332012331300232 = 2311192316267530741
BaseRepresentation
bin100101101111101101010010…
…1000100010111010110001000
31121112120001212020000011010201
41023133122211010113112020
5322004142223303101412
63134044205343021544
7126635046036043102
oct11337324504272610
91545501766004121
10332012331300232
1196875703525780
12312a2269b9a8b4
1311334822a7978b
145bdb6a8290572
15285b608ec8e57
hex12df6a5117588

332012331300232 has 128 divisors (see below), whose sum is σ = 745987177958400. Its totient is φ = 136746986745600.

The previous prime is 332012331300203. The next prime is 332012331300259. The reversal of 332012331300232 is 232003133210233.

It is a super-2 number, since 2×3320123313002322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332012331300232.

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, 625298382 + ... + 625829122.

It is an arithmetic number, because the mean of its divisors is an integer number (5828024827800).

Almost surely, 2332012331300232 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 332012331300232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372993588979200).

332012331300232 is an abundant number, since it is smaller than the sum of its proper divisors (413974846658168).

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

332012331300232 is a wasteful number, since it uses less digits than its factorization.

332012331300232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547067 (or 547063 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 332012331300232 its reverse (232003133210233), we get a palindrome (564015464510465).

The spelling of 332012331300232 in words is "three hundred thirty-two trillion, twelve billion, three hundred thirty-one million, three hundred thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 418 437 506 836 874 1012 1672 1748 2024 3496 4807 9614 16267 19228 32534 38456 65068 130136 178937 309073 357874 374141 530741 618146 715748 748282 1061482 1236292 1431496 1496564 2122964 2472584 2993128 3399803 4115551 4245928 5838151 6799606 7108679 8231102 10084079 11676302 12207043 13599212 14217358 16462204 20168158 23352604 24414086 27198424 28434716 32924408 40336316 46705208 48828172 56869432 78195469 80672632 97656344 110924869 134277473 156390938 221849738 231933817 268554946 312781876 443699476 463867634 537109892 625563752 887398952 927735268 1074219784 1855470536 2551271987 5102543974 8633563847 10205087948 17267127694 20410175896 34534255388 69068510776 94969202317 164037713093 189938404634 198571968481 328075426186 379876809268 397143936962 656150852372 759753618536 794287873924 1312301704744 1588575747848 1804414844023 2184291653291 3608829688046 3772867401139 4368583306582 7217659376092 7545734802278 8737166613164 14435318752184 15091469604556 17474333226328 30182939209112 41501541412529 83003082825058 166006165650116 332012331300232