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101943463781 is a prime number
BaseRepresentation
bin101111011110001001…
…1011100111101100101
3100202010121121112100202
41132330103130331211
53132240011320111
6114455430120245
710236153100445
oct1367423347545
9322117545322
10101943463781
113a263478215
12179107b0085
1397c8350603
144d11200125
1529b9b80b3b
hex17bc4dcf65

101943463781 has 2 divisors, whose sum is σ = 101943463782. Its totient is φ = 101943463780.

The previous prime is 101943463757. The next prime is 101943463789. The reversal of 101943463781 is 187364349101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98213918881 + 3729544900 = 313391^2 + 61070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101943463781 - 210 = 101943462757 is a prime.

It is a super-3 number, since 3×1019434637813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101943463789) 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, 50971731890 + 50971731891.

It is an arithmetic number, because the mean of its divisors is an integer number (50971731891).

Almost surely, 2101943463781 is an apocalyptic number.

It is an amenable number.

101943463781 is a deficient number, since it is larger than the sum of its proper divisors (1).

101943463781 is an equidigital number, since it uses as much as digits as its factorization.

101943463781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 101943463781 in words is "one hundred one billion, nine hundred forty-three million, four hundred sixty-three thousand, seven hundred eighty-one".