Search a number
-
+
12230330193 = 3213917954617
BaseRepresentation
bin10110110001111110…
…00000011101010001
31011120100112010222100
423120333000131101
5200021431031233
65341334231013
7612036043224
oct133077003521
934510463870
1012230330193
115206780104
122453ab5469
1311cbaab193
148404575bb
154b8abb813
hex2d8fc0751

12230330193 has 24 divisors (see below), whose sum is σ = 17892856800. Its totient is φ = 8049524544.

The previous prime is 12230330173. The next prime is 12230330209. The reversal of 12230330193 is 39103303221.

12230330193 is a `hidden beast` number, since 12 + 230 + 330 + 1 + 93 = 666.

12230330193 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 12230330193 - 221 = 12228233041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12230330173) 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, 196621 + ... + 251237.

It is an arithmetic number, because the mean of its divisors is an integer number (745535700).

Almost surely, 212230330193 is an apocalyptic number.

It is an amenable number.

12230330193 is a deficient number, since it is larger than the sum of its proper divisors (5662526607).

12230330193 is a wasteful number, since it uses less digits than its factorization.

12230330193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54941 (or 54938 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 12230330193 in words is "twelve billion, two hundred thirty million, three hundred thirty thousand, one hundred ninety-three".

Divisors: 1 3 9 139 179 417 537 1251 1611 24881 54617 74643 163851 223929 491553 7591763 9776443 22775289 29329329 68325867 87987987 1358925577 4076776731 12230330193