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12033320102132 = 227287137046309
BaseRepresentation
bin1010111100011011100111…
…0001010010100011110100
31120121101002202201200002012
42233012321301102203310
53034123214421232012
641332010403303352
72351243614136300
oct257067161224364
946541082650065
1012033320102132
11391a33654279a
12142417a67ab58
13693977884a54
142d85b6d56d00
1515d03326d622
hexaf1b9c528f4

12033320102132 has 36 divisors (see below), whose sum is σ = 24499216590660. Its totient is φ = 5156544564864.

The previous prime is 12033320102047. The next prime is 12033320102143. The reversal of 12033320102132 is 23120102333021.

It can be written as a sum of positive squares in 2 ways, for example, as 6130150135396 + 5903169966736 = 2475914^2 + 2429644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12033320102098 and 12033320102107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1815407 + ... + 5230902.

It is an arithmetic number, because the mean of its divisors is an integer number (680533794185).

Almost surely, 212033320102132 is an apocalyptic number.

It is an amenable number.

12033320102132 is an abundant number, since it is smaller than the sum of its proper divisors (12465896488528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033320102132 is a wasteful number, since it uses less digits than its factorization.

12033320102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055040 (or 7055031 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12033320102132 its reverse (23120102333021), we get a palindrome (35153422435153).

The spelling of 12033320102132 in words is "twelve trillion, thirty-three billion, three hundred twenty million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 196 8713 17426 34852 60991 121982 243964 426937 853874 1707748 7046309 14092618 28185236 49324163 98648326 197296652 345269141 690538282 1381076564 61394490317 122788980634 245577961268 429761432219 859522864438 1719045728876 3008330025533 6016660051066 12033320102132