Search a number
-
+
120730880205 = 32513206377573
BaseRepresentation
bin111000001110000011…
…1110000100011001101
3102112121221110011122200
41300130013300203031
53434224101131310
6131244001432113
711502552356325
oct1603407604315
9375557404580
10120730880205
1147224486251
121b49463b639
13b500749270
145bb443c285
1532192279c0
hex1c1c1f08cd

120730880205 has 24 divisors (see below), whose sum is σ = 225364310808. Its totient is φ = 59436740736.

The previous prime is 120730880173. The next prime is 120730880219. The reversal of 120730880205 is 502088037021.

It can be written as a sum of positive squares in 4 ways, for example, as 12909277161 + 107821603044 = 113619^2 + 328362^2 .

It is not a de Polignac number, because 120730880205 - 25 = 120730880173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 120730880205.

It is a congruent number.

It is an unprimeable number.

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, 103188202 + ... + 103189371.

It is an arithmetic number, because the mean of its divisors is an integer number (9390179617).

Almost surely, 2120730880205 is an apocalyptic number.

120730880205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120730880205 is a deficient number, since it is larger than the sum of its proper divisors (104633430603).

120730880205 is a wasteful number, since it uses less digits than its factorization.

120730880205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206377597 (or 206377594 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 120730880205 in words is "one hundred twenty billion, seven hundred thirty million, eight hundred eighty thousand, two hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 206377573 619132719 1031887865 1857398157 2682908449 3095663595 8048725347 9286990785 13414542245 24146176041 40243626735 120730880205