Search a number
-
+
12031323113237 is a prime number
BaseRepresentation
bin1010111100010100001010…
…1111011000011100010101
31120121011221121001010022112
42233011002233120130111
53034110122204110422
641331040305040405
72351143255045241
oct257050257303425
946534847033275
1012031323113237
11391950127244a
121423901926105
13693719c2310c
142d8467a43421
1515ce67ca2ee2
hexaf142bd8715

12031323113237 has 2 divisors, whose sum is σ = 12031323113238. Its totient is φ = 12031323113236.

The previous prime is 12031323113189. The next prime is 12031323113239. The reversal of 12031323113237 is 73231132313021.

12031323113237 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., 10801943330161 + 1229379783076 = 3286631^2 + 1108774^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031323113237 - 28 = 12031323112981 is a prime.

It is a super-2 number, since 2×120313231132372 (a number of 27 digits) contains 22 as substring.

Together with 12031323113239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12031323113239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6015661556618 + 6015661556619.

It is an arithmetic number, because the mean of its divisors is an integer number (6015661556619).

Almost surely, 212031323113237 is an apocalyptic number.

It is an amenable number.

12031323113237 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031323113237 is an equidigital number, since it uses as much as digits as its factorization.

12031323113237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 12031323113237 its reverse (73231132313021), we get a palindrome (85262455426258).

The spelling of 12031323113237 in words is "twelve trillion, thirty-one billion, three hundred twenty-three million, one hundred thirteen thousand, two hundred thirty-seven".