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101111117 is a prime number
BaseRepresentation
bin1100000011011…
…01010101001101
321001020222101012
412001231111031
5201341023432
614011055005
72335300412
oct601552515
9231228335
10101111117
1152090308
1229a41465
1317c42483
14d600109
158d23cb2
hex606d54d

101111117 has 2 divisors, whose sum is σ = 101111118. Its totient is φ = 101111116.

The previous prime is 101111113. The next prime is 101111123. The reversal of 101111117 is 711111101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55562116 + 45549001 = 7454^2 + 6749^2 .

It is a cyclic number.

It is not a de Polignac number, because 101111117 - 22 = 101111113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555558 + 50555559.

It is an arithmetic number, because the mean of its divisors is an integer number (50555559).

Almost surely, 2101111117 is an apocalyptic number.

It is an amenable number.

101111117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101111117 is an equidigital number, since it uses as much as digits as its factorization.

101111117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 14.

The square root of 101111117 is about 10055.4023788210. The cubic root of 101111117 is about 465.8716713323.

Adding to 101111117 its reverse (711111101), we get a palindrome (812222218).

The spelling of 101111117 in words is "one hundred one million, one hundred eleven thousand, one hundred seventeen".