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101117 is a prime number
BaseRepresentation
bin11000101011111101
312010201002
4120223331
511213432
62100045
7600542
oct305375
9163632
10101117
1169a75
124a625
1337043
1428bc9
151ee62
hex18afd

101117 has 2 divisors, whose sum is σ = 101118. Its totient is φ = 101116.

The previous prime is 101113. The next prime is 101119. The reversal of 101117 is 711101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81796 + 19321 = 286^2 + 139^2 .

It is a cyclic number.

It is not a de Polignac number, because 101117 - 22 = 101113 is a prime.

Together with 101119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 101098 and 101107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101111) 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, 50558 + 50559.

It is an arithmetic number, because the mean of its divisors is an integer number (50559).

2101117 is an apocalyptic number.

It is an amenable number.

101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

101117 is an equidigital number, since it uses as much as digits as its factorization.

101117 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 11.

The square root of 101117 is about 317.9889935202. The cubic root of 101117 is about 46.5880706507.

Adding to 101117 its reverse (711101), we get a palindrome (812218).

The spelling of 101117 in words is "one hundred one thousand, one hundred seventeen", and thus it is an iban number.