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1212131331 = 33172939013
BaseRepresentation
bin100100000111111…
…1010100000000011
310010110211122121000
41020033322200003
54440301200311
6320140103043
742015642405
oct11017724003
93113748530
101212131331
11572242234
12299b34a83
13164181198
14b6daab75
1571635056
hex483fa803

1212131331 has 32 divisors (see below), whose sum is σ = 1908083520. Its totient is φ = 757873152.

The previous prime is 1212131311. The next prime is 1212131351. The reversal of 1212131331 is 1331312121.

1212131331 is a `hidden beast` number, since 121 + 213 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (1212131311) and next prime (1212131351).

It is not a de Polignac number, because 1212131331 - 223 = 1203742723 is a prime.

It is a super-2 number, since 2×12121313312 = 2938524727183663122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1212131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129981 + ... + 138993.

It is an arithmetic number, because the mean of its divisors is an integer number (59627610).

Almost surely, 21212131331 is an apocalyptic number.

1212131331 is a deficient number, since it is larger than the sum of its proper divisors (695952189).

1212131331 is a wasteful number, since it uses less digits than its factorization.

1212131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9326 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1212131331 is about 34815.6765121691. The cubic root of 1212131331 is about 1066.2275312274.

Adding to 1212131331 its reverse (1331312121), we get a palindrome (2543443452).

The spelling of 1212131331 in words is "one billion, two hundred twelve million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 293 459 879 2637 4981 7911 9013 14943 27039 44829 81117 134487 153221 243351 459663 1378989 2640809 4136967 7922427 23767281 44893753 71301843 134681259 404043777 1212131331