Search a number
-
+
12213330320 = 245152666629
BaseRepresentation
bin10110101111111100…
…01010000110010000
31011112011112110112102
423113332022012100
5200003103032240
65335530015532
7611441411012
oct132776120620
934464473472
1012213330320
1151a8119924
12244a2775a8
1311c8408499
1483c0b01b2
154b735e815
hex2d7f8a190

12213330320 has 20 divisors (see below), whose sum is σ = 28395993180. Its totient is φ = 4885332096.

The previous prime is 12213330317. The next prime is 12213330331. The reversal of 12213330320 is 2303331221.

12213330320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1433076736 + 10780253584 = 37856^2 + 103828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12213330292 and 12213330301.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 76333235 + ... + 76333394.

It is an arithmetic number, because the mean of its divisors is an integer number (1419799659).

Almost surely, 212213330320 is an apocalyptic number.

12213330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213330320 is an abundant number, since it is smaller than the sum of its proper divisors (16182662860).

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

12213330320 is a wasteful number, since it uses less digits than its factorization.

12213330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152666642 (or 152666636 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12213330320 its reverse (2303331221), we get a palindrome (14516661541).

Subtracting from 12213330320 its reverse (2303331221), we obtain a palindrome (9909999099).

The spelling of 12213330320 in words is "twelve billion, two hundred thirteen million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 152666629 305333258 610666516 763333145 1221333032 1526666290 2442666064 3053332580 6106665160 12213330320