Search a number
-
+
130563436107 = 313109117211783
BaseRepresentation
bin111100110011000101…
…1111110111001001011
3110111000012010202122210
41321212023332321023
54114343214423412
6135551403320203
712301324616136
oct1714613767113
9414005122583
10130563436107
115040a724005
1221379520063
13c40983a890
14646825521d
1535e255c83c
hex1e662fee4b

130563436107 has 32 divisors (see below), whose sum is σ = 187861879296. Its totient is φ = 80181446400.

The previous prime is 130563436043. The next prime is 130563436141. The reversal of 130563436107 is 701634365031.

It is not a de Polignac number, because 130563436107 - 26 = 130563436043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (130563436147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73225938 + ... + 73227720.

It is an arithmetic number, because the mean of its divisors is an integer number (5870683728).

Almost surely, 2130563436107 is an apocalyptic number.

130563436107 is a deficient number, since it is larger than the sum of its proper divisors (57298443189).

130563436107 is a wasteful number, since it uses less digits than its factorization.

130563436107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611.

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 130563436107 in words is "one hundred thirty billion, five hundred sixty-three million, four hundred thirty-six thousand, one hundred seven".

Divisors: 1 3 13 39 1091 1721 1783 3273 5163 5349 14183 22373 23179 42549 67119 69537 1877611 1945253 3068543 5632833 5835759 9205629 24408943 25288289 39891059 73226829 75864867 119673177 3347780413 10043341239 43521145369 130563436107