Search a number
-
+
1205120331 = 32612195119
BaseRepresentation
bin100011111010100…
…1010110101001011
310002222122110022100
41013311022311023
54432002322311
6315325524443
741602232232
oct10765126513
93088573270
101205120331
11569293818
12297713723
13162897c6c
14b60a3b19
1570beca56
hex47d4ad4b

1205120331 has 12 divisors (see below), whose sum is σ = 1769266720. Its totient is φ = 790242480.

The previous prime is 1205120309. The next prime is 1205120333. The reversal of 1205120331 is 1330215021.

1205120331 is a `hidden beast` number, since 120 + 512 + 0 + 3 + 31 = 666.

It is not a de Polignac number, because 1205120331 - 214 = 1205103947 is a prime.

It is a super-2 number, since 2×12051203312 = 2904630024379099122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205120333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1097011 + ... + 1098108.

Almost surely, 21205120331 is an apocalyptic number.

1205120331 is a deficient number, since it is larger than the sum of its proper divisors (564146389).

1205120331 is a wasteful number, since it uses less digits than its factorization.

1205120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195186 (or 2195183 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1205120331 is about 34714.8430934089. The cubic root of 1205120331 is about 1064.1678588670.

Adding to 1205120331 its reverse (1330215021), we get a palindrome (2535335352).

The spelling of 1205120331 in words is "one billion, two hundred five million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 61 183 549 2195119 6585357 19756071 133902259 401706777 1205120331