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102726746981 is a prime number
BaseRepresentation
bin101111110101011111…
…1011100001101100101
3100211011012111102220122
41133222333130031211
53140341021400411
6115105250411325
710264443641105
oct1375277341545
9324135442818
10102726746981
113a625630501
1217aaab90b45
1398c16cc5b1
144d87257205
152a138049db
hex17eafdc365

102726746981 has 2 divisors, whose sum is σ = 102726746982. Its totient is φ = 102726746980.

The previous prime is 102726746917. The next prime is 102726746999. The reversal of 102726746981 is 189647627201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92604576100 + 10122170881 = 304310^2 + 100609^2 .

It is a cyclic number.

It is not a de Polignac number, because 102726746981 - 26 = 102726746917 is a prime.

It is a super-3 number, since 3×1027267469813 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102726766981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51363373490 + 51363373491.

It is an arithmetic number, because the mean of its divisors is an integer number (51363373491).

Almost surely, 2102726746981 is an apocalyptic number.

It is an amenable number.

102726746981 is a deficient number, since it is larger than the sum of its proper divisors (1).

102726746981 is an equidigital number, since it uses as much as digits as its factorization.

102726746981 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 53.

The spelling of 102726746981 in words is "one hundred two billion, seven hundred twenty-six million, seven hundred forty-six thousand, nine hundred eighty-one".