Search a number
-
+
32320221313 = 1714912759661
BaseRepresentation
bin11110000110011011…
…110111000010000001
310002102110012100122211
4132012123313002001
51012142434040223
622503034302121
72222632230322
oct360633670201
9102373170584
1032320221313
1112785a16706
12631bb87941
133080c9a313
1417c865c449
15c92691d0d
hex7866f7081

32320221313 has 8 divisors (see below), whose sum is σ = 34451087400. Its totient is φ = 30214874880.

The previous prime is 32320221293. The next prime is 32320221317. The reversal of 32320221313 is 31312202323.

It can be written as a sum of positive squares in 4 ways, for example, as 3709175409 + 28611045904 = 60903^2 + 169148^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-32320221313 is a prime.

It is a super-3 number, since 3×323202213133 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32320221317) 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 7 ways as a sum of consecutive naturals, for example, 6377298 + ... + 6382363.

It is an arithmetic number, because the mean of its divisors is an integer number (4306385925).

Almost surely, 232320221313 is an apocalyptic number.

It is an amenable number.

32320221313 is a deficient number, since it is larger than the sum of its proper divisors (2130866087).

32320221313 is a wasteful number, since it uses less digits than its factorization.

32320221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12759827.

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

Adding to 32320221313 its reverse (31312202323), we get a palindrome (63632423636).

The spelling of 32320221313 in words is "thirty-two billion, three hundred twenty million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 17 149 2533 12759661 216914237 1901189489 32320221313