Search a number
-
+
131303202221313 = 3299955314595769
BaseRepresentation
bin11101110110101101101000…
…101110011110110100000001
3122012220110111220220102211100
4131312231220232132310001
5114202232424232040223
61143131505224205013
736441225516624303
oct3566555056366401
9565813456812740
10131303202221313
113892341464a711
1212887534909769
135835ab9c18225
14245d174b4d973
15102a76e6aa043
hex776b68b9ed01

131303202221313 has 12 divisors (see below), whose sum is σ = 189660383725540. Its totient is φ = 87535374575616.

The previous prime is 131303202221311. The next prime is 131303202221329. The reversal of 131303202221313 is 313122202303131.

131303202221313 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 320 + 2 + 2 + 21 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117735346750464 + 13567855470849 = 10850592^2 + 3683457^2 .

It is not a de Polignac number, because 131303202221313 - 21 = 131303202221311 is a prime.

It is a super-3 number, since 3×1313032022213133 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131303202221311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1698093 + ... + 16293861.

Almost surely, 2131303202221313 is an apocalyptic number.

It is an amenable number.

131303202221313 is a deficient number, since it is larger than the sum of its proper divisors (58357181504227).

131303202221313 is a wasteful number, since it uses less digits than its factorization.

131303202221313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15595328 (or 15595325 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131303202221313 its reverse (313122202303131), we get a palindrome (444425404524444).

The spelling of 131303202221313 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 9 999553 2998659 8995977 14595769 43787307 131361921 14589244691257 43767734073771 131303202221313