Search a number
-
+
204131410324101 = 32131744712908753
BaseRepresentation
bin101110011010100000001100…
…001100110010101010000101
3222202202202211222000220002100
4232122200030030302222011
5203223442112020332401
62002052401510502313
760666002433540231
oct5632401414625205
9882682758026070
10204131410324101
115a051710484457
121aa8a050364999
1389b96811b3b30
14385a02786b5c1
15188edd6ae1b86
hexb9a80c332a85

204131410324101 has 12 divisors (see below), whose sum is σ = 317537749393228. Its totient is φ = 125619329430144.

The previous prime is 204131410324099. The next prime is 204131410324117. The reversal of 204131410324101 is 101423014131402.

It is a happy number.

204131410324101 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 1 + 410 + 3 + 241 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119718938808225 + 84412471515876 = 10941615^2 + 9187626^2 .

It is not a de Polignac number, because 204131410324101 - 21 = 204131410324099 is a prime.

It is a super-2 number, since 2×2041314103241012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204131410324141) 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, 872356454260 + ... + 872356454493.

Almost surely, 2204131410324101 is an apocalyptic number.

It is an amenable number.

204131410324101 is a deficient number, since it is larger than the sum of its proper divisors (113406339069127).

204131410324101 is a wasteful number, since it uses less digits than its factorization.

204131410324101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744712908772 (or 1744712908769 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 204131410324101 its reverse (101423014131402), we get a palindrome (305554424455503).

The spelling of 204131410324101 in words is "two hundred four trillion, one hundred thirty-one billion, four hundred ten million, three hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 13 39 117 1744712908753 5234138726259 15702416178777 22681267813789 68043803441367 204131410324101