Search a number
-
+
12031013312233 is a prime number
BaseRepresentation
bin1010111100010011000001…
…0001100101011011101001
31120121011011000002121020021
42233010300101211123221
53034104003401442413
641330545441000441
72351132503555306
oct257046021453351
946534130077207
1012031013312233
113919362404363
121423836023121
1369369a9a3206
142d843883c0ad
1515ce4a9aa18d
hexaf1304656e9

12031013312233 has 2 divisors, whose sum is σ = 12031013312234. Its totient is φ = 12031013312232.

The previous prime is 12031013312209. The next prime is 12031013312243. The reversal of 12031013312233 is 33221331013021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7785283004944 + 4245730307289 = 2790212^2 + 2060517^2 .

It is a cyclic number.

It is not a de Polignac number, because 12031013312233 - 213 = 12031013304041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12031013312198 and 12031013312207.

It is not a weakly prime, because it can be changed into another prime (12031013312243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6015506656116 + 6015506656117.

It is an arithmetic number, because the mean of its divisors is an integer number (6015506656117).

Almost surely, 212031013312233 is an apocalyptic number.

It is an amenable number.

12031013312233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12031013312233 is an equidigital number, since it uses as much as digits as its factorization.

12031013312233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12031013312233 its reverse (33221331013021), we get a palindrome (45252344325254).

The spelling of 12031013312233 in words is "twelve trillion, thirty-one billion, thirteen million, three hundred twelve thousand, two hundred thirty-three".