Search a number
-
+
10273364317457 is a prime number
BaseRepresentation
bin1001010101111111010000…
…1110110001010100010001
31100101010100102102102010122
42111133310032301110101
52321304322231124312
633503303551040025
72110140354611543
oct225376416612421
940333312372118
1010273364317457
113300a0037083a
12119b068b10015
13596a0a903517
1427733a985693
1512c379032b72
hex957f43b1511

10273364317457 has 2 divisors, whose sum is σ = 10273364317458. Its totient is φ = 10273364317456.

The previous prime is 10273364317379. The next prime is 10273364317459. The reversal of 10273364317457 is 75471346337201.

10273364317457 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7247030904961 + 3026333412496 = 2692031^2 + 1739636^2 .

It is an emirp because it is prime and its reverse (75471346337201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10273364317457 - 212 = 10273364313361 is a prime.

Together with 10273364317459, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10273364317399 and 10273364317408.

It is not a weakly prime, because it can be changed into another prime (10273364317459) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5136682158728 + 5136682158729.

It is an arithmetic number, because the mean of its divisors is an integer number (5136682158729).

Almost surely, 210273364317457 is an apocalyptic number.

It is an amenable number.

10273364317457 is a deficient number, since it is larger than the sum of its proper divisors (1).

10273364317457 is an equidigital number, since it uses as much as digits as its factorization.

10273364317457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8890560, while the sum is 53.

The spelling of 10273364317457 in words is "ten trillion, two hundred seventy-three billion, three hundred sixty-four million, three hundred seventeen thousand, four hundred fifty-seven".