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330011141021133 = 311134999315387289
BaseRepresentation
bin100101100001001001011010…
…0110101010001110111001101
31121021110202102211102212012120
41023002102310311101313031
5321223400304100134013
63125513005242123153
7126340342501244415
oct11302226465216715
91537422384385176
10330011141021133
1196173a36808660
123101a4534b04b9
131121abbca45760
145b6c8a56c1645
152824531781123
hex12c24b4d51dcd

330011141021133 has 32 divisors (see below), whose sum is σ = 516950902446720. Its totient is φ = 184617912407040.

The previous prime is 330011141021077. The next prime is 330011141021143. The reversal of 330011141021133 is 331120141110033.

It is not a de Polignac number, because 330011141021133 - 28 = 330011141020877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330011141021143) 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, 13753353 + ... + 29140641.

It is an arithmetic number, because the mean of its divisors is an integer number (16154715701460).

Almost surely, 2330011141021133 is an apocalyptic number.

330011141021133 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

330011141021133 is a deficient number, since it is larger than the sum of its proper divisors (186939761425587).

330011141021133 is a wasteful number, since it uses less digits than its factorization.

330011141021133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15437309.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 330011141021133 its reverse (331120141110033), we get a palindrome (661131282131166).

The spelling of 330011141021133 in words is "three hundred thirty trillion, eleven billion, one hundred forty-one million, twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 11 13 33 39 143 429 49993 149979 549923 649909 1649769 1949727 7148999 15387289 21446997 46161867 169260179 200034757 507780537 600104271 2200382327 6601146981 769256738977 2307770216931 8461824128747 10000337606701 25385472386241 30001012820103 110003713673711 330011141021133