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3111331117 is a prime number
BaseRepresentation
bin1011100101110011…
…0010010100101101
322000211111222220211
42321130302110231
522333000043432
61232422342421
7140046610126
oct27134622455
98024458824
103111331117
1113572a1134
12729b8aa11
133a779473b
1421730704d
15133235d47
hexb973252d

3111331117 has 2 divisors, whose sum is σ = 3111331118. Its totient is φ = 3111331116.

The previous prime is 3111331087. The next prime is 3111331121. The reversal of 3111331117 is 7111331113.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2758980676 + 352350441 = 52526^2 + 18771^2 .

It is a cyclic number.

It is not a de Polignac number, because 3111331117 - 223 = 3102942509 is a prime.

It is a super-2 number, since 2×31113311172 = 19360762639224935378, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3111332117) 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, 1555665558 + 1555665559.

It is an arithmetic number, because the mean of its divisors is an integer number (1555665559).

Almost surely, 23111331117 is an apocalyptic number.

It is an amenable number.

3111331117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3111331117 is an equidigital number, since it uses as much as digits as its factorization.

3111331117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 189, while the sum is 22.

The square root of 3111331117 is about 55779.3072474013. The cubic root of 3111331117 is about 1459.8741239135.

The spelling of 3111331117 in words is "three billion, one hundred eleven million, three hundred thirty-one thousand, one hundred seventeen".