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10175047241 is a prime number
BaseRepresentation
bin10010111100111101…
…01110011001001001
3222021010010221210112
421132132232121021
5131314303002431
64401354324105
7510101321522
oct113636563111
928233127715
1010175047241
114351604657
121b7b729635
13c62048c18
146c74cb849
153e8438c2b
hex25e7ae649

10175047241 has 2 divisors, whose sum is σ = 10175047242. Its totient is φ = 10175047240.

The previous prime is 10175047217. The next prime is 10175047243. The reversal of 10175047241 is 14274057101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10164672400 + 10374841 = 100820^2 + 3221^2 .

It is an emirp because it is prime and its reverse (14274057101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10175047241 is a prime.

Together with 10175047243, 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 = 10175047198 and 10175047207.

It is not a weakly prime, because it can be changed into another prime (10175047243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5087523620 + 5087523621.

It is an arithmetic number, because the mean of its divisors is an integer number (5087523621).

Almost surely, 210175047241 is an apocalyptic number.

It is an amenable number.

10175047241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10175047241 is an equidigital number, since it uses as much as digits as its factorization.

10175047241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7840, while the sum is 32.

The spelling of 10175047241 in words is "ten billion, one hundred seventy-five million, forty-seven thousand, two hundred forty-one".