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4314431110217 is a prime number
BaseRepresentation
bin111110110010001000001…
…000100011110001001001
3120021110022010022002021212
4332302020020203301021
51031141423331011332
613102004451542505
7623464424230214
oct76621010436111
916243263262255
104314431110217
111413815980638
125981ba2baa35
13253b0664abc7
1410cb68cda77b
15773655588b2
hex3ec88223c49

4314431110217 has 2 divisors, whose sum is σ = 4314431110218. Its totient is φ = 4314431110216.

The previous prime is 4314431110189. The next prime is 4314431110237. The reversal of 4314431110217 is 7120111344134.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3603072126976 + 711358983241 = 1898176^2 + 843421^2 .

It is a cyclic number.

It is not a de Polignac number, because 4314431110217 - 210 = 4314431109193 is a prime.

It is a super-3 number, since 3×43144311102173 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (4314431110237) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2157215555108 + 2157215555109.

It is an arithmetic number, because the mean of its divisors is an integer number (2157215555109).

Almost surely, 24314431110217 is an apocalyptic number.

It is an amenable number.

4314431110217 is a deficient number, since it is larger than the sum of its proper divisors (1).

4314431110217 is an equidigital number, since it uses as much as digits as its factorization.

4314431110217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 4314431110217 in words is "four trillion, three hundred fourteen billion, four hundred thirty-one million, one hundred ten thousand, two hundred seventeen".