Search a number
-
+
73012248097 is a prime number
BaseRepresentation
bin100001111111111011…
…1100111111000100001
320222110100102111102221
41003333313213320201
52144012113414342
653312533511041
75163211604035
oct1037767477041
9228410374387
1073012248097
1128a67568708
12121977a2481
136b67529a89
143768aca1c5
151d74cc3a67
hex10ffde7e21

73012248097 has 2 divisors, whose sum is σ = 73012248098. Its totient is φ = 73012248096.

The previous prime is 73012248077. The next prime is 73012248121. The reversal of 73012248097 is 79084221037.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65265431841 + 7746816256 = 255471^2 + 88016^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-73012248097 is a prime.

It is not a weakly prime, because it can be changed into another prime (73012248047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36506124048 + 36506124049.

It is an arithmetic number, because the mean of its divisors is an integer number (36506124049).

Almost surely, 273012248097 is an apocalyptic number.

It is an amenable number.

73012248097 is a deficient number, since it is larger than the sum of its proper divisors (1).

73012248097 is an equidigital number, since it uses as much as digits as its factorization.

73012248097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 73012248097 in words is "seventy-three billion, twelve million, two hundred forty-eight thousand, ninety-seven".