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330310030013221 = 3146795323941441
BaseRepresentation
bin100101100011010100100110…
…0000000010011001100100101
31121022112022220220210211121111
41023012221030000103030211
5321243244420140410341
63130302155530345021
7126401053315615666
oct11306511400231445
91538468826724544
10330310030013221
11962797738611a5
123106836888b171
131124014363b11b
145b7d13b05b36d
15282c1c6632681
hex12c6a4c013325

330310030013221 has 16 divisors (see below), whose sum is σ = 342053871763968. Its totient is φ = 318635667302400.

The previous prime is 330310030013191. The next prime is 330310030013287. The reversal of 330310030013221 is 122310030013033.

It is a cyclic number.

It is not a de Polignac number, because 330310030013221 - 25 = 330310030013189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330310030013192 and 330310030013201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330310030013021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1825861 + ... + 25767301.

It is an arithmetic number, because the mean of its divisors is an integer number (21378366985248).

Almost surely, 2330310030013221 is an apocalyptic number.

330310030013221 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

330310030013221 is a deficient number, since it is larger than the sum of its proper divisors (11743841750747).

330310030013221 is a wasteful number, since it uses less digits than its factorization.

330310030013221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23942892.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 330310030013221 its reverse (122310030013033), we get a palindrome (452620060026254).

The spelling of 330310030013221 in words is "three hundred thirty trillion, three hundred ten billion, thirty million, thirteen thousand, two hundred twenty-one".

Divisors: 1 31 467 953 14477 29543 445051 13796581 23941441 742184671 11180652947 22816193273 346600241357 707301991463 10655162258491 330310030013221