Search a number
-
+
111000101117 is a prime number
BaseRepresentation
bin110011101100000011…
…1110010000011111101
3101121111210021101012012
41213120013302003331
53304312011213432
6122554233221005
711006454202103
oct1473007620375
9347453241165
10111000101117
1143090732964
1219619861765
13a60c771109
14552dd59c73
152d49ce8cb2
hex19d81f20fd

111000101117 has 2 divisors, whose sum is σ = 111000101118. Its totient is φ = 111000101116.

The previous prime is 111000101111. The next prime is 111000101141. The reversal of 111000101117 is 711101000111.

Adding to 111000101117 its reverse (711101000111), we get a palindrome (822101101228).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63792110041 + 47207991076 = 252571^2 + 217274^2 .

It is a cyclic number.

It is not a de Polignac number, because 111000101117 - 210 = 111000100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111000101111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55500050558 + 55500050559.

It is an arithmetic number, because the mean of its divisors is an integer number (55500050559).

Almost surely, 2111000101117 is an apocalyptic number.

It is an amenable number.

111000101117 is a deficient number, since it is larger than the sum of its proper divisors (1).

111000101117 is an equidigital number, since it uses as much as digits as its factorization.

111000101117 is an evil number, because the sum of its binary digits is even.

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

The spelling of 111000101117 in words is "one hundred eleven billion, one hundred one thousand, one hundred seventeen".