Search a number
-
+
3200141331 = 331117106109
BaseRepresentation
bin1011111010111110…
…0100100000010011
322021000122000122000
42332233210200103
523023214010311
61245314045043
7142205516052
oct27657444023
98230560560
103200141331
1113a243a602
12753879783
133bccbac6a
14225024399
1513ae2a056
hexbebe4813

3200141331 has 16 divisors (see below), whose sum is σ = 4745239200. Its totient is φ = 2131497504.

The previous prime is 3200141293. The next prime is 3200141383. The reversal of 3200141331 is 1331410023.

3200141331 is a `hidden beast` number, since 320 + 0 + 14 + 1 + 331 = 666.

It is not a de Polignac number, because 3200141331 - 217 = 3200010259 is a prime.

It is a super-2 number, since 2×32001413312 = 20481809076748903122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3200141531) 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 15 ways as a sum of consecutive naturals, for example, 22896 + ... + 83213.

It is an arithmetic number, because the mean of its divisors is an integer number (296577450).

Almost surely, 23200141331 is an apocalyptic number.

3200141331 is a deficient number, since it is larger than the sum of its proper divisors (1545097869).

3200141331 is a wasteful number, since it uses less digits than its factorization.

3200141331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107235 (or 107229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3200141331 is about 56569.7916824872. The cubic root of 3200141331 is about 1473.6342936308.

Adding to 3200141331 its reverse (1331410023), we get a palindrome (4531551354).

The spelling of 3200141331 in words is "three billion, two hundred million, one hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1117 3351 10053 30159 106109 318327 954981 2864943 118523753 355571259 1066713777 3200141331