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330032021010012 = 223319523307522597
BaseRepresentation
bin100101100001010011001000…
…1011000000111011001011100
31121021112202022222211012021000
41023002212101120013121130
5321224221034334310022
63125530341204510300
7126342012100233516
oct11302462130073134
91537482288735230
10330032021010012
1196181880a41312
12310225000ab390
131121cb6982b569
145b6d8c67d4bb6
152824d548c46ac
hex12c299160765c

330032021010012 has 96 divisors (see below), whose sum is σ = 902394311571200. Its totient is φ = 104021363232576.

The previous prime is 330032021010011. The next prime is 330032021010079. The reversal of 330032021010012 is 210010120230033.

330032021010012 is a `hidden beast` number, since 3 + 30 + 0 + 320 + 210 + 100 + 1 + 2 = 666.

It is a super-2 number, since 2×3300320210100122 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330032021010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152688103 + ... + 154834494.

Almost surely, 2330032021010012 is an apocalyptic number.

It is an amenable number.

330032021010012 is an abundant number, since it is smaller than the sum of its proper divisors (572362290561188).

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

330032021010012 is a wasteful number, since it uses less digits than its factorization.

330032021010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307523152 (or 307523144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330032021010012 its reverse (210010120230033), we get a palindrome (540042141240045).

The spelling of 330032021010012 in words is "three hundred thirty trillion, thirty-two billion, twenty-one million, ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 523 684 1026 1046 1569 2052 2092 3138 4707 6276 9414 9937 14121 18828 19874 28242 29811 39748 56484 59622 89433 119244 178866 268299 357732 536598 1073196 307522597 615045194 922567791 1230090388 1845135582 2767703373 3690271164 5535406746 5842929343 8303110119 11070813492 11685858686 16606220238 17528788029 23371717372 33212440476 35057576058 52586364087 70115152116 105172728174 157759092261 160834318231 210345456348 315518184522 321668636462 482502954693 631036369044 643337272924 965005909386 1447508864079 1930011818772 2895017728158 3055852046389 4342526592237 5790035456316 6111704092778 8685053184474 9167556139167 12223408185556 17370106368948 18335112278334 27502668417501 36670224556668 55005336835002 82508005252503 110010673670004 165016010505006 330032021010012