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930101100111017 is a prime number
BaseRepresentation
bin1101001101111011000000100…
…1101011010110010010101001
311111222012210111212020021220122
43103132300021223112102221
51433402234023112023032
613054054314030133025
7366624405215262632
oct32336601153262251
94458183455207818
10930101100111017
1124a3a473036627a
12883979a8651175
1330bca207a4c783
14125971c223c889
15727e0e63e9012
hex34dec09ad64a9

930101100111017 has 2 divisors, whose sum is σ = 930101100111018. Its totient is φ = 930101100111016.

The previous prime is 930101100111011. The next prime is 930101100111019. The reversal of 930101100111017 is 710111001101039.

930101100111017 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., 629930887283776 + 300170212827241 = 25098424^2 + 17325421^2 .

It is a cyclic number.

It is not a de Polignac number, because 930101100111017 - 244 = 912508914066601 is a prime.

Together with 930101100111019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (930101100111011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 465050550055508 + 465050550055509.

It is an arithmetic number, because the mean of its divisors is an integer number (465050550055509).

Almost surely, 2930101100111017 is an apocalyptic number.

It is an amenable number.

930101100111017 is a deficient number, since it is larger than the sum of its proper divisors (1).

930101100111017 is an equidigital number, since it uses as much as digits as its factorization.

930101100111017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 26.

The spelling of 930101100111017 in words is "nine hundred thirty trillion, one hundred one billion, one hundred million, one hundred eleven thousand, seventeen".