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122409434249 is a prime number
BaseRepresentation
bin111001000000000101…
…0111011110010001001
3102200221220221112220222
41302000022323302021
54001143303343444
6132122322555425
711562264011024
oct1620012736211
9380856845828
10122409434249
1147a05a307a3
121b882808b75
13b70a4271cb
145cd33401bb
1532b6791eee
hex1c802bbc89

122409434249 has 2 divisors, whose sum is σ = 122409434250. Its totient is φ = 122409434248.

The previous prime is 122409434221. The next prime is 122409434261. The reversal of 122409434249 is 942434904221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105604201024 + 16805233225 = 324968^2 + 129635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122409434249 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (122409434149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61204717124 + 61204717125.

It is an arithmetic number, because the mean of its divisors is an integer number (61204717125).

Almost surely, 2122409434249 is an apocalyptic number.

It is an amenable number.

122409434249 is a deficient number, since it is larger than the sum of its proper divisors (1).

122409434249 is an equidigital number, since it uses as much as digits as its factorization.

122409434249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 122409434249 in words is "one hundred twenty-two billion, four hundred nine million, four hundred thirty-four thousand, two hundred forty-nine".