Search a number
-
+
12032013202333 = 293711399233917
BaseRepresentation
bin1010111100010110101111…
…0111110111001110011101
31120121020201200120021120221
42233011223313313032131
53034113030334433313
641331233000041341
72351166334520635
oct257055367671635
946536650507527
1012032013202333
113919825862613
121423a74a63251
136937c9ba2367
142d84d155b6c5
1515cea8668c8d
hexaf16bdf739d

12032013202333 has 16 divisors (see below), whose sum is σ = 12896439983280. Its totient is φ = 11203112180736.

The previous prime is 12032013202291. The next prime is 12032013202337. The reversal of 12032013202333 is 33320231023021.

It can be written as a sum of positive squares in 8 ways, for example, as 487389685689 + 11544623516644 = 698133^2 + 3397738^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032013202333 - 217 = 12032013071261 is a prime.

It is a super-2 number, since 2×120320132023332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12032013202298 and 12032013202307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032013202337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49495710 + ... + 49738207.

It is an arithmetic number, because the mean of its divisors is an integer number (806027498955).

Almost surely, 212032013202333 is an apocalyptic number.

It is an amenable number.

12032013202333 is a deficient number, since it is larger than the sum of its proper divisors (864426780947).

12032013202333 is a wasteful number, since it uses less digits than its factorization.

12032013202333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99234096.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 12032013202333 its reverse (33320231023021), we get a palindrome (45352244225354).

The spelling of 12032013202333 in words is "twelve trillion, thirty-two billion, thirteen million, two hundred two thousand, three hundred thirty-three".

Divisors: 1 29 37 113 1073 3277 4181 121249 99233917 2877783593 3671654929 11213432621 106477992941 325189546009 414897006977 12032013202333