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12200330331 = 3271948720929
BaseRepresentation
bin10110101110011001…
…00100010001011011
31011111021001222220100
423113030210101123
5144441241032311
65334343230443
7611223045120
oct132714442133
934437058810
1012200330331
1151a084a832
122445a48423
1311c5806297
1483a488747
154b6142a56
hex2d732445b

12200330331 has 48 divisors (see below), whose sum is σ = 21244787200. Its totient is φ = 6590813184.

The previous prime is 12200330291. The next prime is 12200330357. The reversal of 12200330331 is 13303300221.

12200330331 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 330 + 331 = 666.

12200330331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12200330331 - 210 = 12200329307 is a prime.

It is a super-2 number, since 2×122003303312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12200330231) 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 47 ways as a sum of consecutive naturals, for example, 572475 + ... + 593403.

Almost surely, 212200330331 is an apocalyptic number.

12200330331 is a deficient number, since it is larger than the sum of its proper divisors (9044456869).

12200330331 is a wasteful number, since it uses less digits than its factorization.

12200330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21448 (or 21445 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12200330331 its reverse (13303300221), we get a palindrome (25503630552).

The spelling of 12200330331 in words is "twelve billion, two hundred million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 487 1197 1461 3409 4383 9253 10227 20929 27759 30681 62787 64771 83277 146503 188361 194313 397651 439509 582939 1192953 1318527 2783557 3578859 8350671 10192423 25052013 30577269 71346961 91731807 193656037 214040883 580968111 642122649 1355592259 1742904333 4066776777 12200330331