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220044911137 is a prime number
BaseRepresentation
bin1100110011101110110…
…0101110001000100001
3210000222022022200020121
43030323230232020201
512101122444124022
6245030502040241
721616626612112
oct3147354561041
9700868280217
10220044911137
1185358685667
1236790719081
131799a0bcb3c
14a916338209
155acd1122c7
hex333bb2e221

220044911137 has 2 divisors, whose sum is σ = 220044911138. Its totient is φ = 220044911136.

The previous prime is 220044911069. The next prime is 220044911159. The reversal of 220044911137 is 731119440022.

220044911137 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., 123049414656 + 96995496481 = 350784^2 + 311441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220044911137 is a prime.

It is not a weakly prime, because it can be changed into another prime (220044911167) 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, 110022455568 + 110022455569.

It is an arithmetic number, because the mean of its divisors is an integer number (110022455569).

Almost surely, 2220044911137 is an apocalyptic number.

It is an amenable number.

220044911137 is a deficient number, since it is larger than the sum of its proper divisors (1).

220044911137 is an equidigital number, since it uses as much as digits as its factorization.

220044911137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 220044911137 in words is "two hundred twenty billion, forty-four million, nine hundred eleven thousand, one hundred thirty-seven".