Search a number
-
+
1110000111133 is a prime number
BaseRepresentation
bin10000001001110001001…
…010011000111000011101
310221010002211001001022011
4100021301022120320131
5121141240012024013
62205532122351221
7143123560161334
oct20116112307035
93833084031264
101110000111133
11398826141551
1215b16095b511
13808988041b4
143ba1d658d1b
151dd18881c3d
hex10271298e1d

1110000111133 has 2 divisors, whose sum is σ = 1110000111134. Its totient is φ = 1110000111132.

The previous prime is 1110000111097. The next prime is 1110000111151. The reversal of 1110000111133 is 3311110000111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 766207860889 + 343792250244 = 875333^2 + 586338^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110000111133 - 221 = 1109998013981 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1110000117133) 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, 555000055566 + 555000055567.

It is an arithmetic number, because the mean of its divisors is an integer number (555000055567).

Almost surely, 21110000111133 is an apocalyptic number.

It is an amenable number.

1110000111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1110000111133 is an equidigital number, since it uses as much as digits as its factorization.

1110000111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 1110000111133 its reverse (3311110000111), we get a palindrome (4421110111244).

The spelling of 1110000111133 in words is "one trillion, one hundred ten billion, one hundred eleven thousand, one hundred thirty-three".