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220113113219 is a prime number
BaseRepresentation
bin1100110011111111000…
…0111001000010000011
3210001011001122200220122
43030333300321002003
512101242424110334
6245041335530455
721621415410026
oct3147760710203
9701131580818
10220113113219
118539312891a
12367ab529a2b
13179ab27c1bc
14a92140d1bd
155ad40d532e
hex333fc39083

220113113219 has 2 divisors, whose sum is σ = 220113113220. Its totient is φ = 220113113218.

The previous prime is 220113113189. The next prime is 220113113221. The reversal of 220113113219 is 912311311022.

220113113219 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 is a cyclic number.

It is not a de Polignac number, because 220113113219 - 232 = 215818145923 is a prime.

It is a super-2 number, since 2×2201131132192 (a number of 23 digits) contains 22 as substring.

Together with 220113113221, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (220113113819) 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, 110056556609 + 110056556610.

It is an arithmetic number, because the mean of its divisors is an integer number (110056556610).

Almost surely, 2220113113219 is an apocalyptic number.

220113113219 is a deficient number, since it is larger than the sum of its proper divisors (1).

220113113219 is an equidigital number, since it uses as much as digits as its factorization.

220113113219 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 26.

The spelling of 220113113219 in words is "two hundred twenty billion, one hundred thirteen million, one hundred thirteen thousand, two hundred nineteen".