Search a number
-
+
12111120120031 is a prime number
BaseRepresentation
bin1011000000111101011100…
…0000110011100011011111
31120212210220210012001222121
42300033113000303203133
53041412033222320111
641431434411523411
72356666563315022
oct260172700634337
946783823161877
1012111120120031
11394a32a631749
121437271759567
1369b0c5c933ba
142dc27785b1b9
15160088525871
hexb03d70338df

12111120120031 has 2 divisors, whose sum is σ = 12111120120032. Its totient is φ = 12111120120030.

The previous prime is 12111120119971. The next prime is 12111120120053. The reversal of 12111120120031 is 13002102111121.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12111120120031 - 241 = 9912096864479 is a prime.

It is a super-2 number, since 2×121111201200312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12111120119987 and 12111120120014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111120127031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055560060015 + 6055560060016.

It is an arithmetic number, because the mean of its divisors is an integer number (6055560060016).

Almost surely, 212111120120031 is an apocalyptic number.

12111120120031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111120120031 is an equidigital number, since it uses as much as digits as its factorization.

12111120120031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 12111120120031 its reverse (13002102111121), we get a palindrome (25113222231152).

The spelling of 12111120120031 in words is "twelve trillion, one hundred eleven billion, one hundred twenty million, one hundred twenty thousand, thirty-one".