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73406808113 is a prime number
BaseRepresentation
bin100010001011101100…
…0110000000000110001
321000110211212020000212
41010113120300000301
52200314120324423
653420030353505
75206042400552
oct1042730600061
9230424766025
1073406808113
112914a258471
121228795b895
136bcb1b5242
1437a5276329
151d99760578
hex1117630031

73406808113 has 2 divisors, whose sum is σ = 73406808114. Its totient is φ = 73406808112.

The previous prime is 73406808109. The next prime is 73406808131. The reversal of 73406808113 is 31180860437.

Together with next prime (73406808131) 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., 59013527329 + 14393280784 = 242927^2 + 119972^2 .

It is a cyclic number.

It is not a de Polignac number, because 73406808113 - 22 = 73406808109 is a prime.

It is not a weakly prime, because it can be changed into another prime (73406801113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36703404056 + 36703404057.

It is an arithmetic number, because the mean of its divisors is an integer number (36703404057).

Almost surely, 273406808113 is an apocalyptic number.

It is an amenable number.

73406808113 is a deficient number, since it is larger than the sum of its proper divisors (1).

73406808113 is an equidigital number, since it uses as much as digits as its factorization.

73406808113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 73406808113 in words is "seventy-three billion, four hundred six million, eight hundred eight thousand, one hundred thirteen".