Search a number
-
+
204344313201 = 3275393601439
BaseRepresentation
bin1011111001001111011…
…1101100010101110001
3201112110002212122212100
42332103313230111301
511321444121010301
6233512515451013
720522562001110
oct2762367542561
9645402778770
10204344313201
1179731045a96
123372a5b6a69
13163673854c2
149c67061c77
1554aea5d286
hex2f93dec571

204344313201 has 24 divisors (see below), whose sum is σ = 337393405440. Its totient is φ = 116746333056.

The previous prime is 204344313167. The next prime is 204344313227. The reversal of 204344313201 is 102313443402.

204344313201 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 443 + 13 + 201 = 666.

It is not a de Polignac number, because 204344313201 - 222 = 204340118897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (204344313001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39040 + ... + 640478.

It is an arithmetic number, because the mean of its divisors is an integer number (14058058560).

Almost surely, 2204344313201 is an apocalyptic number.

204344313201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204344313201 is a deficient number, since it is larger than the sum of its proper divisors (133049092239).

204344313201 is a wasteful number, since it uses less digits than its factorization.

204344313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606845 (or 606842 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204344313201 its reverse (102313443402), we get a palindrome (306657756603).

The spelling of 204344313201 in words is "two hundred four billion, three hundred forty-four million, three hundred thirteen thousand, two hundred one".

Divisors: 1 3 7 9 21 63 5393 16179 37751 48537 113253 339759 601439 1804317 4210073 5412951 12630219 37890657 3243560527 9730681581 22704923689 29192044743 68114771067 204344313201