Search a number
-
+
220113133321 is a prime number
BaseRepresentation
bin1100110011111111000…
…0111101111100001001
3210001011001200201111011
43030333300331330021
512101242430231241
6245041340203521
721621415522444
oct3147760757411
9701131621434
10220113133321
1185393141a34
12367ab5395a1
13179ab2883b3
14a92141665b
155ad40db281
hex333fc3df09

220113133321 has 2 divisors, whose sum is σ = 220113133322. Its totient is φ = 220113133320.

The previous prime is 220113133319. The next prime is 220113133333. The reversal of 220113133321 is 123331311022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125270692096 + 94842441225 = 353936^2 + 307965^2 .

It is a cyclic number.

It is not a de Polignac number, because 220113133321 - 21 = 220113133319 is a prime.

Together with 220113133319, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 220113133292 and 220113133301.

It is not a weakly prime, because it can be changed into another prime (220113133351) 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 as a sum of consecutive naturals, namely, 110056566660 + 110056566661.

It is an arithmetic number, because the mean of its divisors is an integer number (110056566661).

Almost surely, 2220113133321 is an apocalyptic number.

It is an amenable number.

220113133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113133321 is an equidigital number, since it uses as much as digits as its factorization.

220113133321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 220113133321 its reverse (123331311022), we get a palindrome (343444444343).

The spelling of 220113133321 in words is "two hundred twenty billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred twenty-one".