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71693107201 is a prime number
BaseRepresentation
bin100001011000100111…
…1100000000000000001
320212001102020012022201
41002301033200000001
52133311413412301
652534012033201
75115423233152
oct1026117400001
9225042205281
1071693107201
112844a987621
1211a89a62801
1369b714c731
143681825929
151ce90a2201
hex10b13e0001

71693107201 has 2 divisors, whose sum is σ = 71693107202. Its totient is φ = 71693107200.

The previous prime is 71693107193. The next prime is 71693107229. The reversal of 71693107201 is 10270139617.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68761426176 + 2931681025 = 262224^2 + 54145^2 .

It is a cyclic number.

It is not a de Polignac number, because 71693107201 - 23 = 71693107193 is a prime.

It is not a weakly prime, because it can be changed into another prime (71693107231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35846553600 + 35846553601.

It is an arithmetic number, because the mean of its divisors is an integer number (35846553601).

Almost surely, 271693107201 is an apocalyptic number.

It is an amenable number.

71693107201 is a deficient number, since it is larger than the sum of its proper divisors (1).

71693107201 is an equidigital number, since it uses as much as digits as its factorization.

71693107201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15876, while the sum is 37.

The spelling of 71693107201 in words is "seventy-one billion, six hundred ninety-three million, one hundred seven thousand, two hundred one".