Search a number
-
+
1011113111 is a prime number
BaseRepresentation
bin111100010001000…
…101110010010111
32121110120212102202
4330101011302113
54032321104421
6244155355115
734025214431
oct7421056227
92543525382
101011113111
11479824278
12242752a9b
1313162b5a8
1498401651
155db7910b
hex3c445c97

1011113111 has 2 divisors, whose sum is σ = 1011113112. Its totient is φ = 1011113110.

The previous prime is 1011113099. The next prime is 1011113119. The reversal of 1011113111 is 1113111101.

1011113111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1011113111 - 222 = 1006918807 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011113092 and 1011113101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011113119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505556555 + 505556556.

It is an arithmetic number, because the mean of its divisors is an integer number (505556556).

Almost surely, 21011113111 is an apocalyptic number.

1011113111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011113111 is an equidigital number, since it uses as much as digits as its factorization.

1011113111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 11.

The square root of 1011113111 is about 31798.0048273473. The cubic root of 1011113111 is about 1003.6907320723.

Adding to 1011113111 its reverse (1113111101), we get a palindrome (2124224212).

It can be divided in two parts, 101 and 1113111, that multiplied together give a palindrome (112424211).

The spelling of 1011113111 in words is "one billion, eleven million, one hundred thirteen thousand, one hundred eleven".