Search a number
-
+
12111010020149 is a prime number
BaseRepresentation
bin1011000000111101000001…
…1100110011101100110101
31120212210122010000102100012
42300033100130303230311
53041411322031121044
641431415440030005
72356664055426065
oct260172034635465
946783563012305
1012111010020149
11394a283472007
121437240902305
1369b0a9224741
142dc266d9b3a5
1516007da2859e
hexb03d0733b35

12111010020149 has 2 divisors, whose sum is σ = 12111010020150. Its totient is φ = 12111010020148.

The previous prime is 12111010020047. The next prime is 12111010020157. The reversal of 12111010020149 is 94102001011121.

12111010020149 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 can be written as a sum of positive squares in only one way, i.e., 8187667188100 + 3923342832049 = 2861410^2 + 1980743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12111010020149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12111010029149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055505010074 + 6055505010075.

It is an arithmetic number, because the mean of its divisors is an integer number (6055505010075).

Almost surely, 212111010020149 is an apocalyptic number.

It is an amenable number.

12111010020149 is a deficient number, since it is larger than the sum of its proper divisors (1).

12111010020149 is an equidigital number, since it uses as much as digits as its factorization.

12111010020149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 12111010020149 in words is "twelve trillion, one hundred eleven billion, ten million, twenty thousand, one hundred forty-nine".