Search a number
-
+
321023000205 = 3257133844449
BaseRepresentation
bin1001010101111100111…
…01100011111010001101
31010200121122102002110100
410222332131203322031
520224423342001310
6403250445001313
732123151323205
oct4527635437215
91120548362410
10321023000205
11114166129536
1252271b53239
13243704375bb
1411775241405
15853d150ec0
hex4abe763e8d

321023000205 has 12 divisors (see below), whose sum is σ = 556439867100. Its totient is φ = 171212266752.

The previous prime is 321023000191. The next prime is 321023000209. The reversal of 321023000205 is 502000320123.

It can be written as a sum of positive squares in 2 ways, for example, as 163748096964 + 157274903241 = 404658^2 + 396579^2 .

It is not a de Polignac number, because 321023000205 - 25 = 321023000173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321023000209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3566922180 + ... + 3566922269.

It is an arithmetic number, because the mean of its divisors is an integer number (46369988925).

Almost surely, 2321023000205 is an apocalyptic number.

It is an amenable number.

321023000205 is a deficient number, since it is larger than the sum of its proper divisors (235416866895).

321023000205 is a wasteful number, since it uses less digits than its factorization.

321023000205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133844460 (or 7133844457 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 321023000205 its reverse (502000320123), we get a palindrome (823023320328).

The spelling of 321023000205 in words is "three hundred twenty-one billion, twenty-three million, two hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 7133844449 21401533347 35669222245 64204600041 107007666735 321023000205