Search a number
-
+
120020132005 = 5179411500533
BaseRepresentation
bin110111111000111000…
…0011110000010100101
3102110210102001102102021
41233301300132002211
53431300123211010
6131045251543141
711446132201204
oct1576160360245
9373712042367
10120020132005
114699a265644
121b3165baab1
13b4194158b7
145b47ca723b
1531c6b308da
hex1bf1c1e0a5

120020132005 has 16 divisors (see below), whose sum is σ = 152658327024. Its totient is φ = 90272005120.

The previous prime is 120020131999. The next prime is 120020132009. The reversal of 120020132005 is 500231020021.

It can be written as a sum of positive squares in 8 ways, for example, as 10561056289 + 109459075716 = 102767^2 + 330846^2 .

It is not a de Polignac number, because 120020132005 - 27 = 120020131877 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120020132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020132009) 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 15 ways as a sum of consecutive naturals, for example, 670282 + ... + 830251.

It is an arithmetic number, because the mean of its divisors is an integer number (9541145439).

Almost surely, 2120020132005 is an apocalyptic number.

It is an amenable number.

120020132005 is a deficient number, since it is larger than the sum of its proper divisors (32638195019).

120020132005 is a wasteful number, since it uses less digits than its factorization.

120020132005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501496.

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 120020132005 its reverse (500231020021), we get a palindrome (620251152026).

The spelling of 120020132005 in words is "one hundred twenty billion, twenty million, one hundred thirty-two thousand, five".

Divisors: 1 5 17 85 941 4705 15997 79985 1500533 7502665 25509061 127545305 1412001553 7060007765 24004026401 120020132005