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11006253617 is a prime number
BaseRepresentation
bin10100100000000011…
…00001101000110001
31001102001012121120212
422100001201220301
5140020100103432
65020050113505
7536513416652
oct122001415061
931361177525
1011006253617
11473881a277
122171b7b895
131065306c08
14765a5b529
154463c72b2
hex290061a31

11006253617 has 2 divisors, whose sum is σ = 11006253618. Its totient is φ = 11006253616.

The previous prime is 11006253571. The next prime is 11006253637. The reversal of 11006253617 is 71635260011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10835977216 + 170276401 = 104096^2 + 13049^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006253617 - 212 = 11006249521 is a prime.

It is a super-2 number, since 2×110062536172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11006253637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5503126808 + 5503126809.

It is an arithmetic number, because the mean of its divisors is an integer number (5503126809).

Almost surely, 211006253617 is an apocalyptic number.

It is an amenable number.

11006253617 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006253617 is an equidigital number, since it uses as much as digits as its factorization.

11006253617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The spelling of 11006253617 in words is "eleven billion, six million, two hundred fifty-three thousand, six hundred seventeen".