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12233321325 = 335223377783
BaseRepresentation
bin10110110010010100…
…11010101101101101
31011120120011010001000
423121022122231231
5200023212240300
65341522310513
7612103341561
oct133112325555
934516133030
1012233321325
115208433415
122454ab8439
1311cc5b7794
148409d56a1
154b8eacc00
hex2d929ab6d

12233321325 has 48 divisors (see below), whose sum is σ = 22569805440. Its totient is φ = 6496352640.

The previous prime is 12233321291. The next prime is 12233321327. The reversal of 12233321325 is 52312333221.

It is a happy number.

12233321325 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 332 + 1 + 325 = 666.

It is not a de Polignac number, because 12233321325 - 223 = 12224932717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233321327) 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 47 ways as a sum of consecutive naturals, for example, 118384 + ... + 196166.

It is an arithmetic number, because the mean of its divisors is an integer number (470204280).

Almost surely, 212233321325 is an apocalyptic number.

12233321325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12233321325 is a deficient number, since it is larger than the sum of its proper divisors (10336484115).

12233321325 is a wasteful number, since it uses less digits than its factorization.

12233321325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78035 (or 78024 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

Adding to 12233321325 its reverse (52312333221), we get a palindrome (64545654546).

The spelling of 12233321325 in words is "twelve billion, two hundred thirty-three million, three hundred twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 233 675 699 1165 2097 3495 5825 6291 10485 17475 31455 52425 77783 157275 233349 388915 700047 1166745 1944575 2100141 3500235 5833725 10500705 17501175 18123439 52503525 54370317 90617195 163110951 271851585 453085975 489332853 815554755 1359257925 2446664265 4077773775 12233321325