Search a number
-
+
12120123210313 is a prime number
BaseRepresentation
bin1011000001011110111110…
…1000110111101001001001
31120220200011020002110001211
42300113233220313221021
53042034003020212223
641435524023213121
72360435644316446
oct260275750675111
946820136073054
1012120123210313
11395312a643728
121438b648a71a1
1369bbcc286161
142dc88d4389cd
15160413b12d0d
hexb05efa37a49

12120123210313 has 2 divisors, whose sum is σ = 12120123210314. Its totient is φ = 12120123210312.

The previous prime is 12120123210311. The next prime is 12120123210317. The reversal of 12120123210313 is 31301232102121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11296536105024 + 823587105289 = 3361032^2 + 907517^2 .

It is an emirp because it is prime and its reverse (31301232102121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12120123210313 - 21 = 12120123210311 is a prime.

Together with 12120123210311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (12120123210311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6060061605156 + 6060061605157.

It is an arithmetic number, because the mean of its divisors is an integer number (6060061605157).

Almost surely, 212120123210313 is an apocalyptic number.

It is an amenable number.

12120123210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12120123210313 is an equidigital number, since it uses as much as digits as its factorization.

12120123210313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 12120123210313 its reverse (31301232102121), we get a palindrome (43421355312434).

The spelling of 12120123210313 in words is "twelve trillion, one hundred twenty billion, one hundred twenty-three million, two hundred ten thousand, three hundred thirteen".