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12131330103333 = 327439438635069
BaseRepresentation
bin1011000010001000101110…
…0111110001100000100101
31120221202002020211121011200
42300202023213301200211
53042224431001301313
641445020041553113
72361313445326110
oct260421347614045
946852066747150
1012131330103333
113957960642291
12143b171aa5799
1369cc9700c3bc
142dd2339a3577
1516086c91db73
hexb088b9f1825

12131330103333 has 24 divisors (see below), whose sum is σ = 20071940803200. Its totient is φ = 6916397752224.

The previous prime is 12131330103293. The next prime is 12131330103379. The reversal of 12131330103333 is 33330103313121.

12131330103333 is a `hidden beast` number, since 1 + 2 + 1 + 313 + 3 + 0 + 10 + 3 + 333 = 666.

It is not a de Polignac number, because 12131330103333 - 216 = 12131330037797 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12131330103297 and 12131330103306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131330123333) 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 23 ways as a sum of consecutive naturals, for example, 219289878 + ... + 219345191.

It is an arithmetic number, because the mean of its divisors is an integer number (836330866800).

Almost surely, 212131330103333 is an apocalyptic number.

It is an amenable number.

12131330103333 is a deficient number, since it is larger than the sum of its proper divisors (7940610699867).

12131330103333 is a wasteful number, since it uses less digits than its factorization.

12131330103333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438635521 (or 438635518 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 12131330103333 its reverse (33330103313121), we get a palindrome (45461433416454).

The spelling of 12131330103333 in words is "twelve trillion, one hundred thirty-one billion, three hundred thirty million, one hundred three thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 63 439 1317 3073 3951 9219 27657 438635069 1315905207 3070445483 3947715621 9211336449 27634009347 192560795291 577682385873 1347925567037 1733047157619 4043776701111 12131330103333