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1072217017 is a prime number
BaseRepresentation
bin111111111010001…
…011101110111001
32202201120021020101
4333322023232321
54143441421032
6254221155401
735366460064
oct7772135671
92681507211
101072217017
11500269573
1225b0bbb61
131411a3b51
14a25898db
15641e8de7
hex3fe8bbb9

1072217017 has 2 divisors, whose sum is σ = 1072217018. Its totient is φ = 1072217016.

The previous prime is 1072216961. The next prime is 1072217023. The reversal of 1072217017 is 7107122701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1056185001 + 16032016 = 32499^2 + 4004^2 .

It is a cyclic number.

It is not a de Polignac number, because 1072217017 - 27 = 1072216889 is a prime.

It is a super-2 number, since 2×10722170172 = 2299298663088756578, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1072217077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536108508 + 536108509.

It is an arithmetic number, because the mean of its divisors is an integer number (536108509).

Almost surely, 21072217017 is an apocalyptic number.

It is an amenable number.

1072217017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072217017 is an equidigital number, since it uses as much as digits as its factorization.

1072217017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1372, while the sum is 28.

The square root of 1072217017 is about 32744.7250255671. The cubic root of 1072217017 is about 1023.5150472780.

Adding to 1072217017 its reverse (7107122701), we get a palindrome (8179339718).

It can be divided in two parts, 1072 and 217017, that added together give a square (218089 = 4672).

The spelling of 1072217017 in words is "one billion, seventy-two million, two hundred seventeen thousand, seventeen".