Search a number
-
+
120120000307 = 1723793888763
BaseRepresentation
bin110111111011110110…
…1011011111100110011
3102111001100222020222021
41233313231123330303
53432001210002212
6131103220252311
711451454104346
oct1576755337463
9374040866867
10120120000307
1146a4067712a
121b343b41097
13b434011478
145b5726245d
1531d07ab307
hex1bf7b5bf33

120120000307 has 16 divisors (see below), whose sum is σ = 134395683840. Its totient is φ = 106769849472.

The previous prime is 120120000281. The next prime is 120120000367. The reversal of 120120000307 is 703000021021.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 120120000307 - 219 = 120119476019 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120120000367) 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, 1913493 + ... + 1975270.

It is an arithmetic number, because the mean of its divisors is an integer number (8399730240).

Almost surely, 2120120000307 is an apocalyptic number.

120120000307 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

120120000307 is a deficient number, since it is larger than the sum of its proper divisors (14275683533).

120120000307 is a wasteful number, since it uses less digits than its factorization.

120120000307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3888882.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 120120000307 its reverse (703000021021), we get a palindrome (823120021328).

The spelling of 120120000307 in words is "one hundred twenty billion, one hundred twenty million, three hundred seven", and thus it is an aban number.

Divisors: 1 17 23 79 391 1343 1817 30889 3888763 66108971 89441549 307212277 1520506333 5222608709 7065882371 120120000307