Search a number
-
+
220330122113 is a prime number
BaseRepresentation
bin1100110100110010110…
…0101101101110000001
3210001201011222220011002
43031030230231232001
512102214002401423
6245115051101345
721626662065023
oct3151454555601
9701634886132
10220330122113
1185494678912
1236850141855
1317a1421032a
14a94217c013
155ae819e228
hex334cb2db81

220330122113 has 2 divisors, whose sum is σ = 220330122114. Its totient is φ = 220330122112.

The previous prime is 220330122079. The next prime is 220330122137. The reversal of 220330122113 is 311221033022.

220330122113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154336622449 + 65993499664 = 392857^2 + 256892^2 .

It is a cyclic number.

It is not a de Polignac number, because 220330122113 - 228 = 220061686657 is a prime.

It is not a weakly prime, because it can be changed into another prime (220330122163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110165061056 + 110165061057.

It is an arithmetic number, because the mean of its divisors is an integer number (110165061057).

Almost surely, 2220330122113 is an apocalyptic number.

It is an amenable number.

220330122113 is a deficient number, since it is larger than the sum of its proper divisors (1).

220330122113 is an equidigital number, since it uses as much as digits as its factorization.

220330122113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220330122113 its reverse (311221033022), we get a palindrome (531551155135).

The spelling of 220330122113 in words is "two hundred twenty billion, three hundred thirty million, one hundred twenty-two thousand, one hundred thirteen".