Search a number
-
+
120327515361 = 341738985429
BaseRepresentation
bin111000000010000010…
…1000010110011100001
3102111120211110010010000
41300010011002303201
53432412320442421
6131135552130213
711456554001454
oct1600405026341
9374524403100
10120327515361
1147037822279
121b3a1536969
13b467cca241
145b76a3d49b
1531e3aec226
hex1c04142ce1

120327515361 has 20 divisors (see below), whose sum is σ = 179760951700. Its totient is φ = 80212791456.

The previous prime is 120327515317. The next prime is 120327515419. The reversal of 120327515361 is 163515723021.

120327515361 is a `hidden beast` number, since 1 + 20 + 3 + 275 + 1 + 5 + 361 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27899354961 + 92428160400 = 167031^2 + 304020^2 .

It is not a de Polignac number, because 120327515361 - 225 = 120293960929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120327515761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1365795 + ... + 1451223.

It is an arithmetic number, because the mean of its divisors is an integer number (8988047585).

Almost surely, 2120327515361 is an apocalyptic number.

It is an amenable number.

120327515361 is a deficient number, since it is larger than the sum of its proper divisors (59433436339).

120327515361 is an equidigital number, since it uses as much as digits as its factorization.

120327515361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102830 (or 102821 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 120327515361 in words is "one hundred twenty billion, three hundred twenty-seven million, five hundred fifteen thousand, three hundred sixty-one".

Divisors: 1 3 9 27 81 17389 52167 85429 156501 256287 469503 768861 1408509 2306583 6919749 1485524881 4456574643 13369723929 40109171787 120327515361