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1017428057 is a prime number
BaseRepresentation
bin111100101001001…
…011100001011001
32121220110200220122
4330221023201121
54040430144212
6244543003025
734132665362
oct7451134131
92556420818
101017428057
11482347838
12244899475
13132a2ca49
14991a6b69
155e4c5272
hex3ca4b859

1017428057 has 2 divisors, whose sum is σ = 1017428058. Its totient is φ = 1017428056.

The previous prime is 1017428047. The next prime is 1017428059. The reversal of 1017428057 is 7508247101.

1017428057 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., 917847616 + 99580441 = 30296^2 + 9979^2 .

It is a cyclic number.

It is not a de Polignac number, because 1017428057 - 224 = 1000650841 is a prime.

It is a super-3 number, since 3×10174280573 (a number of 28 digits) contains 333 as substring.

Together with 1017428059, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1017428059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 508714028 + 508714029.

It is an arithmetic number, because the mean of its divisors is an integer number (508714029).

Almost surely, 21017428057 is an apocalyptic number.

It is an amenable number.

1017428057 is a deficient number, since it is larger than the sum of its proper divisors (1).

1017428057 is an equidigital number, since it uses as much as digits as its factorization.

1017428057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 35.

The square root of 1017428057 is about 31897.1481013585. The cubic root of 1017428057 is about 1005.7759267724.

The spelling of 1017428057 in words is "one billion, seventeen million, four hundred twenty-eight thousand, fifty-seven".