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330201211000013 = 10918141281405437
BaseRepresentation
bin100101100010100001111010…
…1111000101101010011001101
31121022010221001010122012112222
41023011003311320231103031
5321240004040004000023
63130140201525305125
7126360151554354503
oct11305036570552315
91538127033565488
10330201211000013
1196237602310a31
123104b2595651a5
1311232ac0a09492
145b77b76a58673
15282945806bcc8
hex12c50f5e2d4cd

330201211000013 has 16 divisors (see below), whose sum is σ = 335080576150320. Its totient is φ = 325355578675200.

The previous prime is 330201210999941. The next prime is 330201211000021. The reversal of 330201211000013 is 310000112102033.

It can be written as a sum of positive squares in 8 ways, for example, as 249862019044 + 329951348980969 = 499862^2 + 18164563^2 .

It is a cyclic number.

It is not a de Polignac number, because 330201211000013 - 228 = 330200942564557 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 330201210999955 and 330201211000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330201211000313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814230131 + ... + 814635567.

It is an arithmetic number, because the mean of its divisors is an integer number (20942536009395).

Almost surely, 2330201211000013 is an apocalyptic number.

It is an amenable number.

330201211000013 is a deficient number, since it is larger than the sum of its proper divisors (4879365150307).

330201211000013 is a wasteful number, since it uses less digits than its factorization.

330201211000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447008.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 330201211000013 its reverse (310000112102033), we get a palindrome (640201323102046).

The spelling of 330201211000013 in words is "three hundred thirty trillion, two hundred one billion, two hundred eleven million, thirteen", and thus it is an aban number.

Divisors: 1 109 181 19729 41281 405437 4499629 7471861 44192633 73384097 814432849 7998866573 16736844797 1824316082873 3029368908257 330201211000013