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320213434041 = 32157226619557
BaseRepresentation
bin1001010100011100011…
…01010011111010111001
31010121112020001212110100
410222032031103322321
520221244114342131
6403034245110013
732064121165044
oct4521615237271
91117466055410
10320213434041
11113890154496
12520869b8309
13242717b5477
14116d9905c5b
1584e20397e6
hex4a8e353eb9

320213434041 has 12 divisors (see below), whose sum is σ = 465476572132. Its totient is φ = 212115904416.

The previous prime is 320213434033. The next prime is 320213434049. The reversal of 320213434041 is 140434312023.

320213434041 is a `hidden beast` number, since 3 + 2 + 0 + 213 + 43 + 404 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (320213434033) and next prime (320213434049).

It can be written as a sum of positive squares in 2 ways, for example, as 55981452816 + 264231981225 = 236604^2 + 514035^2 .

It is not a de Polignac number, because 320213434041 - 23 = 320213434033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 320213433996 and 320213434014.

It is not an unprimeable number, because it can be changed into a prime (320213434049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 113308366 + ... + 113311191.

Almost surely, 2320213434041 is an apocalyptic number.

It is an amenable number.

320213434041 is a deficient number, since it is larger than the sum of its proper divisors (145263138091).

320213434041 is a wasteful number, since it uses less digits than its factorization.

320213434041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226619720 (or 226619717 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 320213434041 its reverse (140434312023), we get a palindrome (460647746064).

The spelling of 320213434041 in words is "three hundred twenty billion, two hundred thirteen million, four hundred thirty-four thousand, forty-one".

Divisors: 1 3 9 157 471 1413 226619557 679858671 2039576013 35579270449 106737811347 320213434041