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320103044001 = 321311549236897
BaseRepresentation
bin1001010100001111010…
…00001101001110100001
31010121020112100110210100
410222013220031032201
520221032334402001
6403015303053013
732061310660146
oct4520750151641
91117215313710
10320103044001
11113833906854
1252055a41169
1324254974710
14116c8dac3cd
1584d74d1586
hex4a87a0d3a1

320103044001 has 24 divisors (see below), whose sum is σ = 497983285800. Its totient is φ = 196968600576.

The previous prime is 320103043999. The next prime is 320103044003. The reversal of 320103044001 is 100440301023.

320103044001 is a `hidden beast` number, since 320 + 1 + 0 + 304 + 40 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (320103043999) and next prime (320103044003).

It can be written as a sum of positive squares in 4 ways, for example, as 43232389776 + 276870654225 = 207924^2 + 526185^2 .

It is not a de Polignac number, because 320103044001 - 21 = 320103043999 is a prime.

It is a super-2 number, since 2×3201030440012 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320103044003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1232785 + ... + 1469681.

It is an arithmetic number, because the mean of its divisors is an integer number (20749303575).

Almost surely, 2320103044001 is an apocalyptic number.

It is an amenable number.

320103044001 is a deficient number, since it is larger than the sum of its proper divisors (177880241799).

320103044001 is a wasteful number, since it uses less digits than its factorization.

320103044001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248465 (or 248462 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 320103044001 its reverse (100440301023), we get a palindrome (420543345024).

The spelling of 320103044001 in words is "three hundred twenty billion, one hundred three million, forty-four thousand, one".

Divisors: 1 3 9 13 39 117 11549 34647 103941 150137 236897 450411 710691 1351233 2132073 3079661 9238983 27716949 2735923453 8207770359 24623311077 35567004889 106701014667 320103044001