Search a number
-
+
205015401351 = 3365311628121
BaseRepresentation
bin1011111011101111011…
…1101100001110000111
3201121011212122110202000
42332323313230032013
511324332420320401
6234103251320343
720545321105245
oct2767367541607
9647155573660
10205015401351
1179a459384a2
12338972b00b3
1316443410c97
149ccc231795
1554ed91e186
hex2fbbdec387

205015401351 has 16 divisors (see below), whose sum is σ = 304191671520. Its totient is φ = 136467616320.

The previous prime is 205015401337. The next prime is 205015401361. The reversal of 205015401351 is 153104510502.

205015401351 is a `hidden beast` number, since 20 + 50 + 1 + 540 + 1 + 3 + 51 = 666.

It is not a de Polignac number, because 205015401351 - 29 = 205015400839 is a prime.

It is a super-2 number, since 2×2050154013512 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205015401361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5796430 + ... + 5831691.

It is an arithmetic number, because the mean of its divisors is an integer number (19011979470).

Almost surely, 2205015401351 is an apocalyptic number.

205015401351 is a deficient number, since it is larger than the sum of its proper divisors (99176270169).

205015401351 is a wasteful number, since it uses less digits than its factorization.

205015401351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11628783 (or 11628777 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 205015401351 its reverse (153104510502), we get a palindrome (358119911853).

The spelling of 205015401351 in words is "two hundred five billion, fifteen million, four hundred one thousand, three hundred fifty-one".

Divisors: 1 3 9 27 653 1959 5877 17631 11628121 34884363 104653089 313959267 7593163013 22779489039 68338467117 205015401351