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330102112030002 = 232134193241369013
BaseRepresentation
bin100101100001110011110001…
…1001000001000110100110010
31121021210110020202102221002100
41023003213203020020310302
5321231343111134430002
63130022452230401230
7126350043031124544
oct11303474310106462
91537713222387070
10330102112030002
11961a9579551014
1231034001500216
1311226659a941a0
145b73055541694
152826aa7eb411c
hex12c39e3208d32

330102112030002 has 96 divisors (see below), whose sum is σ = 789035160893616. Its totient is φ = 99091235174400.

The previous prime is 330102112029983. The next prime is 330102112030013. The reversal of 330102112030002 is 200030211201033.

330102112030002 is a `hidden beast` number, since 330 + 1 + 0 + 2 + 11 + 20 + 300 + 0 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 69915501679401 + 260186610350601 = 8361549^2 + 16130301^2 .

It is a super-2 number, since 2×3301021120300022 (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894369648 + ... + 894738660.

Almost surely, 2330102112030002 is an apocalyptic number.

330102112030002 is an abundant number, since it is smaller than the sum of its proper divisors (458933048863614).

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

330102112030002 is a wasteful number, since it uses less digits than its factorization.

330102112030002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462316 (or 462313 counting only the distinct ones).

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

Adding to 330102112030002 its reverse (200030211201033), we get a palindrome (530132323231035).

The spelling of 330102112030002 in words is "three hundred thirty trillion, one hundred two billion, one hundred twelve million, thirty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 93241 186482 279723 369013 559446 738026 839169 1107039 1212133 1678338 2214078 2424266 3321117 3636399 3822881 4797169 6642234 7272798 7645762 9594338 10909197 11468643 14391507 15129533 21818394 22937286 28783014 30259066 34405929 43174521 45388599 49697453 68811858 86349042 90777198 99394906 136165797 149092359 196683929 272331594 298184718 393367858 447277077 590051787 894554154 1180103574 1770155361 3540310722 34407141133 68814282266 103221423399 206442846798 309664270197 447292834729 619328540394 894585669458 1341878504187 1410692786453 2683757008374 2821385572906 4025635512561 4232078359359 8051271025122 8464156718718 12696235078077 18339006223889 25392470156154 36678012447778 55017018671667 110034037343334 165051056015001 330102112030002