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330313212321232 = 24726926021421339
BaseRepresentation
bin100101100011010110000100…
…1101011110101110111010000
31121022112122010200212211112011
41023012230021223311313100
5321243322424323234412
63130303443410312304
7126401225220031630
oct11306541153656720
91538478120784464
10330313212321232
1196280057120318
1231068ab6588694
131124052ca23c0a
145b7d35d95c6c0
15282c310bd87a7
hex12c6b09af5dd0

330313212321232 has 80 divisors (see below), whose sum is σ = 734156770780800. Its totient is φ = 141030794672640.

The previous prime is 330313212321223. The next prime is 330313212321317. The reversal of 330313212321232 is 232123212313033.

It is a junction number, because it is equal to n+sod(n) for n = 330313212321194 and 330313212321203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783750019 + ... + 784171357.

It is an arithmetic number, because the mean of its divisors is an integer number (9176959634760).

Almost surely, 2330313212321232 is an apocalyptic number.

It is an amenable number.

330313212321232 is an abundant number, since it is smaller than the sum of its proper divisors (403843558459568).

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

330313212321232 is a wasteful number, since it uses less digits than its factorization.

330313212321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447644 (or 447638 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 330313212321232 its reverse (232123212313033), we get a palindrome (562436424634265).

The spelling of 330313212321232 in words is "three hundred thirty trillion, three hundred thirteen billion, two hundred twelve million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 269 538 1076 1883 2152 3766 4304 7532 15064 26021 30128 52042 104084 182147 208168 364294 416336 421339 728588 842678 1457176 1685356 2914352 2949373 3370712 5898746 6741424 6999649 11797492 13999298 23594984 27998596 47189968 48997543 55997192 97995086 111994384 113340191 195990172 226680382 391980344 453360764 783960688 793381337 906721528 1586762674 1813443056 3173525348 6347050696 10963662119 12694101392 21927324238 43854648476 76745634833 87709296952 153491269666 175418593904 306982539332 613965078664 1227930157328 2949225110011 5898450220022 11796900440044 20644575770077 23593800880088 41289151540154 47187601760176 82578303080308 165156606160616 330313212321232