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6005111117 is a prime number
BaseRepresentation
bin1011001011110111…
…01011100101001101
3120111111200020210212
411211323223211031
544244302023432
62431514212205
7301545413405
oct54573534515
916444606725
106005111117
112601801955
1211b7124065
137491682b5
1440d77d805
152522e72b2
hex165eeb94d

6005111117 has 2 divisors, whose sum is σ = 6005111118. Its totient is φ = 6005111116.

The previous prime is 6005111071. The next prime is 6005111131. The reversal of 6005111117 is 7111115006.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6004855081 + 256036 = 77491^2 + 506^2 .

It is a cyclic number.

It is not a de Polignac number, because 6005111117 - 228 = 5736675661 is a prime.

It is a super-2 number, since 2×60051111172 = 72122719055033975378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6005111092 and 6005111101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6005117117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3002555558 + 3002555559.

It is an arithmetic number, because the mean of its divisors is an integer number (3002555559).

Almost surely, 26005111117 is an apocalyptic number.

It is an amenable number.

6005111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

6005111117 is an equidigital number, since it uses as much as digits as its factorization.

6005111117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 23.

The square root of 6005111117 is about 77492.6520194012. The cubic root of 6005111117 is about 1817.6364194989.

The spelling of 6005111117 in words is "six billion, five million, one hundred eleven thousand, one hundred seventeen".