Search a number
-
+
131020443344323 = 1331358190788261
BaseRepresentation
bin11101110010100110010010…
…111110111101110111000011
3122011220102122222012012120201
4131302212102332331313003
5114133114331444004243
61142353543304150031
736411625504053451
oct3562462276756703
9564812588165521
10131020443344323
1138824504632305
1212840781468317
135815237034a70
14244d5cd7359d1
15102322095204d
hex772992fbddc3

131020443344323 has 16 divisors (see below), whose sum is σ = 145691192408832. Its totient is φ = 117007909488000.

The previous prime is 131020443344257. The next prime is 131020443344341. The reversal of 131020443344323 is 323443344020131.

It is a cyclic number.

It is not a de Polignac number, because 131020443344323 - 217 = 131020443213251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131020443344423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43950988 + ... + 46837273.

It is an arithmetic number, because the mean of its divisors is an integer number (9105699525552).

Almost surely, 2131020443344323 is an apocalyptic number.

131020443344323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131020443344323 is a deficient number, since it is larger than the sum of its proper divisors (14670749064509).

131020443344323 is a wasteful number, since it uses less digits than its factorization.

131020443344323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90791886.

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 131020443344323 its reverse (323443344020131), we get a palindrome (454463787364454).

The spelling of 131020443344323 in words is "one hundred thirty-one trillion, twenty billion, four hundred forty-three million, three hundred forty-four thousand, three hundred twenty-three".

Divisors: 1 13 31 403 3581 46553 111011 1443143 90788261 1180247393 2814436091 36587669183 325112762641 4226465914333 10078495641871 131020443344323