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220113031309 is a prime number
BaseRepresentation
bin1100110011111111000…
…0100101000010001101
3210001011001111112112221
43030333300211002031
512101242414000214
6245041334055341
721621414616153
oct3147760450215
9701131445487
10220113031309
1185393082326
12367ab4aa551
13179ab250b32
14a9213cb3d3
155ad40bae24
hex333fc2508d

220113031309 has 2 divisors, whose sum is σ = 220113031310. Its totient is φ = 220113031308.

The previous prime is 220113031301. The next prime is 220113031321. The reversal of 220113031309 is 903130311022.

220113031309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 164795402500 + 55317628809 = 405950^2 + 235197^2 .

It is a cyclic number.

It is not a de Polignac number, because 220113031309 - 23 = 220113031301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220113031301) 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, 110056515654 + 110056515655.

It is an arithmetic number, because the mean of its divisors is an integer number (110056515655).

Almost surely, 2220113031309 is an apocalyptic number.

It is an amenable number.

220113031309 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113031309 is an equidigital number, since it uses as much as digits as its factorization.

220113031309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 220113031309 in words is "two hundred twenty billion, one hundred thirteen million, thirty-one thousand, three hundred nine".