Search a number
-
+
12110202091829 is a prime number
BaseRepresentation
bin1011000000111010000001…
…0010110011100100110101
31120212201112210202102001002
42300032200102303210311
53041403143213414304
641431203335213045
72356635045231662
oct260164022634465
946781483672032
1012110202091829
1139499a9406556
121437056217185
1369acaaa26c4a
142dc1cb96aa69
15160032b3731e
hexb03a04b3935

12110202091829 has 2 divisors, whose sum is σ = 12110202091830. Its totient is φ = 12110202091828.

The previous prime is 12110202091777. The next prime is 12110202091837. The reversal of 12110202091829 is 92819020201121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11884670182225 + 225531909604 = 3447415^2 + 474902^2 .

It is a cyclic number.

It is not a de Polignac number, because 12110202091829 - 28 = 12110202091573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12110202091792 and 12110202091801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12110202091529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6055101045914 + 6055101045915.

It is an arithmetic number, because the mean of its divisors is an integer number (6055101045915).

Almost surely, 212110202091829 is an apocalyptic number.

It is an amenable number.

12110202091829 is a deficient number, since it is larger than the sum of its proper divisors (1).

12110202091829 is an equidigital number, since it uses as much as digits as its factorization.

12110202091829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 38.

The spelling of 12110202091829 in words is "twelve trillion, one hundred ten billion, two hundred two million, ninety-one thousand, eight hundred twenty-nine".