Search a number
-
+
131302144321 = 2975727901
BaseRepresentation
bin111101001001000110…
…1111011100101000001
3110112220200011000211021
41322102031323211001
54122401322104241
6140152552345441
712325534545325
oct1722215734501
9415820130737
10131302144321
1150759701467
12215449a5281
13c4c68b082a
1464d83c7985
1536373290d1
hex1e9237b941

131302144321 has 12 divisors (see below), whose sum is σ = 136026687420. Its totient is φ = 126590990400.

The previous prime is 131302144291. The next prime is 131302144373. The reversal of 131302144321 is 123441203131.

It can be written as a sum of positive squares in 6 ways, for example, as 6647956225 + 124654188096 = 81535^2 + 353064^2 .

It is not a de Polignac number, because 131302144321 - 223 = 131293755713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131302144921) 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 11 ways as a sum of consecutive naturals, for example, 16614471 + ... + 16622371.

It is an arithmetic number, because the mean of its divisors is an integer number (11335557285).

Almost surely, 2131302144321 is an apocalyptic number.

It is an amenable number.

131302144321 is a deficient number, since it is larger than the sum of its proper divisors (4724543099).

131302144321 is an frugal number, since it uses more digits than its factorization.

131302144321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9444 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131302144321 its reverse (123441203131), we get a palindrome (254743347452).

The spelling of 131302144321 in words is "one hundred thirty-one billion, three hundred two million, one hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 29 757 7901 21953 229129 573049 5981057 16618421 173450653 4527660149 131302144321