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12131323132132 = 2241103577714169
BaseRepresentation
bin1011000010001000101100…
…1101001011100011100100
31120221202001202201102111001
42300202023031023203210
53042224422210212012
641445015232323044
72361313332142651
oct260421315134344
946852052642431
1012131323132132
113957957710766
12143b16b6a3484
1369cc9573b329
142dd232aaac28
1516086bee3357
hexb088b34b8e4

12131323132132 has 24 divisors (see below), whose sum is σ = 21747856276440. Its totient is φ = 5917653181440.

The previous prime is 12131323132129. The next prime is 12131323132133. The reversal of 12131323132132 is 23123132313121.

It can be written as a sum of positive squares in 4 ways, for example, as 4929216993856 + 7202106138276 = 2220184^2 + 2683674^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12131323132132.

It is not an unprimeable number, because it can be changed into a prime (12131323132133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16629544 + ... + 17343712.

It is an arithmetic number, because the mean of its divisors is an integer number (906160678185).

Almost surely, 212131323132132 is an apocalyptic number.

It is an amenable number.

12131323132132 is a deficient number, since it is larger than the sum of its proper divisors (9616533144308).

12131323132132 is a wasteful number, since it uses less digits than its factorization.

12131323132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817791 (or 817789 counting only the distinct ones).

The product of its digits is 3888, while the sum is 28.

Adding to 12131323132132 its reverse (23123132313121), we get a palindrome (35254455445253).

The spelling of 12131323132132 in words is "twelve trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 41 82 164 103577 207154 414308 714169 1428338 2856676 4246657 8493314 16986628 29280929 58561858 117123716 73971482513 147942965026 295885930052 3032830783033 6065661566066 12131323132132