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93979320601 is a prime number
BaseRepresentation
bin101011110000110011…
…0101010000100011001
322222120120200010202211
41113201212222010121
53014432201224401
6111101250555121
76534616021225
oct1274146520431
9288516603684
1093979320601
1136946970601
1216269598aa1
138b2938325a
1447975cb785
1526a08b9951
hex15e19aa119

93979320601 has 2 divisors, whose sum is σ = 93979320602. Its totient is φ = 93979320600.

The previous prime is 93979320599. The next prime is 93979320607. The reversal of 93979320601 is 10602397939.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92306592400 + 1672728201 = 303820^2 + 40899^2 .

It is a cyclic number.

It is not a de Polignac number, because 93979320601 - 21 = 93979320599 is a prime.

It is a super-2 number, since 2×939793206012 (a number of 23 digits) contains 22 as substring.

Together with 93979320599, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (93979320607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46989660300 + 46989660301.

It is an arithmetic number, because the mean of its divisors is an integer number (46989660301).

Almost surely, 293979320601 is an apocalyptic number.

It is an amenable number.

93979320601 is a deficient number, since it is larger than the sum of its proper divisors (1).

93979320601 is an equidigital number, since it uses as much as digits as its factorization.

93979320601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 551124, while the sum is 49.

The spelling of 93979320601 in words is "ninety-three billion, nine hundred seventy-nine million, three hundred twenty thousand, six hundred one".