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330133121330103 = 327131748764375721
BaseRepresentation
bin100101100010000010001101…
…1011011001110101110110111
31121021220102021211220120220200
41023010010123123032232313
5321232400113030030403
63130045021235331543
7126352221334620360
oct11304043333165667
91537812254816820
10330133121330103
1196210741490163
123103a016450bb3
131122955c2a1580
145b74757a38b67
1528277c0509ca3
hex12c411b6cebb7

330133121330103 has 192 divisors, whose sum is σ = 623679753295872. Its totient is φ = 163299792199680.

The previous prime is 330133121330083. The next prime is 330133121330191. The reversal of 330133121330103 is 301033121331033.

330133121330103 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 3 + 312 + 1 + 330 + 10 + 3 = 666.

It is not a de Polignac number, because 330133121330103 - 212 = 330133121326007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330133121331103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4359824283 + ... + 4359900003.

It is an arithmetic number, because the mean of its divisors is an integer number (3248332048416).

Almost surely, 2330133121330103 is an apocalyptic number.

330133121330103 is a deficient number, since it is larger than the sum of its proper divisors (293546631965769).

330133121330103 is a wasteful number, since it uses less digits than its factorization.

330133121330103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76894 (or 76891 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330133121330103 its reverse (301033121331033), we get a palindrome (631166242661136).

The spelling of 330133121330103 in words is "three hundred thirty trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty thousand, one hundred three".