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34238821217 is a prime number
BaseRepresentation
bin11111111000110010…
…101111001101100001
310021101011101022221112
4133320302233031201
51030110114234332
623421252433105
72321320115126
oct377062571541
9107334338845
1034238821217
111357aa16167
126776618795
1332c8613c33
14192b3a874d
15d55d25db2
hex7f8caf361

34238821217 has 2 divisors, whose sum is σ = 34238821218. Its totient is φ = 34238821216.

The previous prime is 34238821207. The next prime is 34238821271. The reversal of 34238821217 is 71212883243.

Together with next prime (34238821271) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28801823521 + 5436997696 = 169711^2 + 73736^2 .

It is a cyclic number.

It is not a de Polignac number, because 34238821217 - 222 = 34234626913 is a prime.

It is a super-2 number, since 2×342388212172 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34238821207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17119410608 + 17119410609.

It is an arithmetic number, because the mean of its divisors is an integer number (17119410609).

Almost surely, 234238821217 is an apocalyptic number.

It is an amenable number.

34238821217 is a deficient number, since it is larger than the sum of its proper divisors (1).

34238821217 is an equidigital number, since it uses as much as digits as its factorization.

34238821217 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 129024, while the sum is 41.

The spelling of 34238821217 in words is "thirty-four billion, two hundred thirty-eight million, eight hundred twenty-one thousand, two hundred seventeen".