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12131103033 = 3271910134589
BaseRepresentation
bin10110100110001000…
…11111000100111001
31011022102210212220100
423103010133010321
5144321030244113
65323431350013
7606422450220
oct132304370471
934272725810
1012131103033
115165767295
122426822309
1311b437839a
148311c7cb7
154b001ad73
hex2d311f139

12131103033 has 24 divisors (see below), whose sum is σ = 21079947200. Its totient is φ = 6567213024.

The previous prime is 12131103011. The next prime is 12131103037. The reversal of 12131103033 is 33030113121.

It is a happy number.

12131103033 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 12131103033 - 230 = 11057361209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12131102997 and 12131103015.

It is not an unprimeable number, because it can be changed into a prime (12131103037) 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, 5066098 + ... + 5068491.

Almost surely, 212131103033 is an apocalyptic number.

It is an amenable number.

12131103033 is a deficient number, since it is larger than the sum of its proper divisors (8948844167).

12131103033 is a wasteful number, since it uses less digits than its factorization.

12131103033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134621 (or 10134618 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12131103033 its reverse (33030113121), we get a palindrome (45161216154).

The spelling of 12131103033 in words is "twelve billion, one hundred thirty-one million, one hundred three thousand, thirty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 10134589 30403767 70942123 91211301 192557191 212826369 577671573 638479107 1347900337 1733014719 4043701011 12131103033