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420323013 = 34112916267
BaseRepresentation
bin11001000011011…
…001111011000101
31002021220121210000
4121003121323011
51330100314023
6105412551513
713262454345
oct3103317305
91067817700
10420323013
111a62969a0
12b8922599
1369108a56
143db74d25
1526d7a243
hex190d9ec5

420323013 has 40 divisors (see below), whose sum is σ = 708634080. Its totient is φ = 245941920.

The previous prime is 420323009. The next prime is 420323023. The reversal of 420323013 is 310323024.

420323013 is a `hidden beast` number, since 420 + 3 + 230 + 13 = 666.

It is not a de Polignac number, because 420323013 - 22 = 420323009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420323003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17706 + ... + 33972.

It is an arithmetic number, because the mean of its divisors is an integer number (17715852).

Almost surely, 2420323013 is an apocalyptic number.

It is an amenable number.

420323013 is a deficient number, since it is larger than the sum of its proper divisors (288311067).

420323013 is a wasteful number, since it uses less digits than its factorization.

420323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16319 (or 16310 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 420323013 is about 20501.7807275368. The cubic root of 420323013 is about 749.0791739018.

Adding to 420323013 its reverse (310323024), we get a palindrome (730646037).

The spelling of 420323013 in words is "four hundred twenty million, three hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 891 957 2349 2871 8613 16267 25839 48801 146403 178937 439209 471743 536811 1317627 1415229 1610433 4245687 4831299 5189173 12737061 14493897 15567519 38211183 46702557 140107671 420323013