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3130031331 = 32761381049
BaseRepresentation
bin1011101010010000…
…0111110011100011
322002010201001210100
42322210013303203
522402242000311
61234331233443
7140364553530
oct27244076343
98063631710
103130031331
111366903959
127342a8883
133ab61135b
142199b3d87
15134bcba56
hexba907ce3

3130031331 has 24 divisors (see below), whose sum is σ = 5175528800. Its totient is φ = 1785649536.

The previous prime is 3130031323. The next prime is 3130031341. The reversal of 3130031331 is 1331300313.

3130031331 is a `hidden beast` number, since 3 + 1 + 300 + 31 + 331 = 666.

It is not a de Polignac number, because 3130031331 - 23 = 3130031323 is a prime.

It is a super-3 number, since 3×31300313313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3130031321) 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 23 ways as a sum of consecutive naturals, for example, 1906 + ... + 79143.

Almost surely, 23130031331 is an apocalyptic number.

3130031331 is a deficient number, since it is larger than the sum of its proper divisors (2045497469).

3130031331 is a wasteful number, since it uses less digits than its factorization.

3130031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81675 (or 81672 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 3130031331 is about 55946.6829311622. The cubic root of 3130031331 is about 1462.7930724525.

Adding to 3130031331 its reverse (1331300313), we get a palindrome (4461331644).

The spelling of 3130031331 in words is "three billion, one hundred thirty million, thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 613 1839 4291 5517 12873 38619 81049 243147 567343 729441 1702029 5106087 49683037 149049111 347781259 447147333 1043343777 3130031331