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330031000210014 = 232145874912569027
BaseRepresentation
bin100101100001010010101010…
…0100010000100101001011110
31121021112122200212000011220200
41023002211110202010221132
5321224211442023210024
63125530052021324330
7126341644563462315
oct11302452442045136
91537478625004820
10330031000210014
11961813a7801154
12310222762666a6
131121ca361baaac
145b6d82add127c
152824ce4e852c9
hex12c2954884a5e

330031000210014 has 24 divisors (see below), whose sum is σ = 715067714205000. Its totient is φ = 110010249236688.

The previous prime is 330031000209997. The next prime is 330031000210019. The reversal of 330031000210014 is 410012000130033.

330031000210014 is a `hidden beast` number, since 330 + 0 + 310 + 0 + 0 + 2 + 10 + 0 + 14 = 666.

It is a super-2 number, since 2×3300310002100142 (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 (330031000210019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19972969 + ... + 32541995.

It is an arithmetic number, because the mean of its divisors is an integer number (29794488091875).

Almost surely, 2330031000210014 is an apocalyptic number.

330031000210014 is an abundant number, since it is smaller than the sum of its proper divisors (385036713994986).

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

330031000210014 is a wasteful number, since it uses less digits than its factorization.

330031000210014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14027784 (or 14027781 counting only the distinct ones).

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

Adding to 330031000210014 its reverse (410012000130033), we get a palindrome (740043000340047).

The spelling of 330031000210014 in words is "three hundred thirty trillion, thirty-one billion, two hundred ten thousand, fourteen".

Divisors: 1 2 3 6 9 18 1458749 2917498 4376247 8752494 12569027 13128741 25138054 26257482 37707081 75414162 113121243 226242486 18335055567223 36670111134446 55005166701669 110010333403338 165015500105007 330031000210014