Search a number
-
+
12333221320 = 2357290315173
BaseRepresentation
bin10110111110001111…
…00000010111001000
31011211112010120001211
423133013200113020
5200224301040240
65355451422504
7614425436320
oct133707402710
934745116054
1012333221320
1152598667a2
122482454a34
1312171c48c4
1484dd9c280
154c2b42bea
hex2df1e05c8

12333221320 has 64 divisors (see below), whose sum is σ = 31727013120. Its totient is φ = 4226797824.

The previous prime is 12333221269. The next prime is 12333221321. The reversal of 12333221320 is 2312233321.

12333221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12333221291 and 12333221300.

It is not an unprimeable number, because it can be changed into a prime (12333221321) 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 15 ways as a sum of consecutive naturals, for example, 805254 + ... + 820426.

It is an arithmetic number, because the mean of its divisors is an integer number (495734580).

Almost surely, 212333221320 is an apocalyptic number.

12333221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12333221320 is an abundant number, since it is smaller than the sum of its proper divisors (19393791800).

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

12333221320 is a wasteful number, since it uses less digits than its factorization.

12333221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18094 (or 18090 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 12333221320 its reverse (2312233321), we get a palindrome (14645454641).

The spelling of 12333221320 in words is "twelve billion, three hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2903 5806 11612 14515 15173 20321 23224 29030 30346 40642 58060 60692 75865 81284 101605 106211 116120 121384 151730 162568 203210 212422 303460 406420 424844 531055 606920 812840 849688 1062110 2124220 4248440 44047219 88094438 176188876 220236095 308330533 352377752 440472190 616661066 880944380 1233322132 1541652665 1761888760 2466644264 3083305330 6166610660 12333221320