Search a number
-
+
130005205 = 5111728179
BaseRepresentation
bin1111011111110…
…11100011010101
3100001121221121121
413233323203111
5231240131310
620522243541
73136011631
oct757734325
9301557547
10130005205
1167425920
12376565b1
1320c1ac75
14133a1dc1
15b6300da
hex7bfb8d5

130005205 has 24 divisors (see below), whose sum is σ = 180810720. Its totient is φ = 88976640.

The previous prime is 130005203. The next prime is 130005229. The reversal of 130005205 is 502500031.

It is not a de Polignac number, because 130005205 - 21 = 130005203 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130005203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11806 + ... + 19984.

It is an arithmetic number, because the mean of its divisors is an integer number (7533780).

Almost surely, 2130005205 is an apocalyptic number.

It is an amenable number.

130005205 is a deficient number, since it is larger than the sum of its proper divisors (50805515).

130005205 is a wasteful number, since it uses less digits than its factorization.

130005205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8229 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 130005205 is about 11401.9825030562. The cubic root of 130005205 is about 506.5864627105.

Adding to 130005205 its reverse (502500031), we get a palindrome (632505236).

The spelling of 130005205 in words is "one hundred thirty million, five thousand, two hundred five".

Divisors: 1 5 11 17 55 85 187 289 935 1445 3179 8179 15895 40895 89969 139043 449845 695215 1529473 2363731 7647365 11818655 26001041 130005205