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11617005721 is a prime number
BaseRepresentation
bin10101101000110110…
…10111000010011001
31002222121110000222011
422310123113002121
5142242423140341
65200424425521
7560610630226
oct126433270231
932877400864
1011617005721
114a21551382
1223026182a1
1311319c87a9
147c2c0294d
1547ed1ab81
hex2b46d7099

11617005721 has 2 divisors, whose sum is σ = 11617005722. Its totient is φ = 11617005720.

The previous prime is 11617005703. The next prime is 11617005739. The reversal of 11617005721 is 12750071611.

It is a happy number.

11617005721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (11617005703) and next prime (11617005739).

It can be written as a sum of positive squares in only one way, i.e., 8108102025 + 3508903696 = 90045^2 + 59236^2 .

It is a cyclic number.

It is not a de Polignac number, because 11617005721 - 213 = 11616997529 is a prime.

It is not a weakly prime, because it can be changed into another prime (11617005781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5808502860 + 5808502861.

It is an arithmetic number, because the mean of its divisors is an integer number (5808502861).

Almost surely, 211617005721 is an apocalyptic number.

It is an amenable number.

11617005721 is a deficient number, since it is larger than the sum of its proper divisors (1).

11617005721 is an equidigital number, since it uses as much as digits as its factorization.

11617005721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 31.

The spelling of 11617005721 in words is "eleven billion, six hundred seventeen million, five thousand, seven hundred twenty-one".