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214222014100417 is a prime number
BaseRepresentation
bin110000101101010101110011…
…000011011011001111000001
31001002111102110111020212102211
4300231111303003123033001
5211034303141102203132
62035340122405142121
763060013132466101
oct6055256303331701
91032442414225384
10214222014100417
1162292056226654
12200397b30ba941
13926c08427cccb
143ac8587b45201
1519b7615dc8147
hexc2d5730db3c1

214222014100417 has 2 divisors, whose sum is σ = 214222014100418. Its totient is φ = 214222014100416.

The previous prime is 214222014100379. The next prime is 214222014100489. The reversal of 214222014100417 is 714001410222412.

214222014100417 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 160895931394576 + 53326082705841 = 12684476^2 + 7302471^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-214222014100417 is a prime.

It is not a weakly prime, because it can be changed into another prime (214222014107417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107111007050208 + 107111007050209.

It is an arithmetic number, because the mean of its divisors is an integer number (107111007050209).

Almost surely, 2214222014100417 is an apocalyptic number.

It is an amenable number.

214222014100417 is a deficient number, since it is larger than the sum of its proper divisors (1).

214222014100417 is an equidigital number, since it uses as much as digits as its factorization.

214222014100417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168, while the sum is 31.

Adding to 214222014100417 its reverse (714001410222412), we get a palindrome (928223424322829).

The spelling of 214222014100417 in words is "two hundred fourteen trillion, two hundred twenty-two billion, fourteen million, one hundred thousand, four hundred seventeen".