Search a number
-
+
205137010027 = 7920249128237
BaseRepresentation
bin1011111100001100011…
…1100101110101101011
3201121111100110211111001
42333003013211311223
511330110033310102
6234123314015431
720551325546425
oct2770307456553
9647440424431
10205137010027
1179aa8548934
123390bb77577
131646267c191
149d00449815
155509441487
hex2fc31e5d6b

205137010027 has 8 divisors (see below), whose sum is σ = 207745560000. Its totient is φ = 202528757184.

The previous prime is 205137009923. The next prime is 205137010147. The reversal of 205137010027 is 720010731502.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205137010027 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 205137009977 and 205137010004.

It is not an unprimeable number, because it can be changed into a prime (205137010627) 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 7 ways as a sum of consecutive naturals, for example, 1535553 + ... + 1663789.

It is an arithmetic number, because the mean of its divisors is an integer number (25968195000).

Almost surely, 2205137010027 is an apocalyptic number.

205137010027 is a deficient number, since it is larger than the sum of its proper divisors (2608549973).

205137010027 is a wasteful number, since it uses less digits than its factorization.

205137010027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148565.

The product of its (nonzero) digits is 2940, while the sum is 28.

Adding to 205137010027 its reverse (720010731502), we get a palindrome (925147741529).

The spelling of 205137010027 in words is "two hundred five billion, one hundred thirty-seven million, ten thousand, twenty-seven".

Divisors: 1 79 20249 128237 1599671 10130723 2596671013 205137010027