Search a number
-
+
12117435324193 is a prime number
BaseRepresentation
bin1011000001010100111101…
…1011011001011100100001
31120220102012220100200111001
42300111033123121130201
53042013001420333233
641434401204352001
72360312225545663
oct260251733313441
946812186320431
1012117435324193
113951a80381041
1214385346a5601
1369b8914514b4
142dc6b647a533
15160307b7227d
hexb054f6d9721

12117435324193 has 2 divisors, whose sum is σ = 12117435324194. Its totient is φ = 12117435324192.

The previous prime is 12117435324149. The next prime is 12117435324209. The reversal of 12117435324193 is 39142353471121.

It is a happy number.

12117435324193 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., 11576244102544 + 541191221649 = 3402388^2 + 735657^2 .

It is an emirp because it is prime and its reverse (39142353471121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12117435324193 - 29 = 12117435323681 is a prime.

It is a super-2 number, since 2×121174353241932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12117435324793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6058717662096 + 6058717662097.

It is an arithmetic number, because the mean of its divisors is an integer number (6058717662097).

Almost surely, 212117435324193 is an apocalyptic number.

It is an amenable number.

12117435324193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12117435324193 is an equidigital number, since it uses as much as digits as its factorization.

12117435324193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 544320, while the sum is 46.

The spelling of 12117435324193 in words is "twelve trillion, one hundred seventeen billion, four hundred thirty-five million, three hundred twenty-four thousand, one hundred ninety-three".