Search a number
-
+
12331310333 is a prime number
BaseRepresentation
bin10110111110000000…
…01101110011111101
31011211101112110200112
423133000031303331
5200223303412313
65355342435405
7614403260036
oct133700156375
934741473615
1012331310333
115258780a71
122481892b65
1312169a5b44
1484da21a8d
154c28b68a8
hex2df00dcfd

12331310333 has 2 divisors, whose sum is σ = 12331310334. Its totient is φ = 12331310332.

The previous prime is 12331310323. The next prime is 12331310359. The reversal of 12331310333 is 33301313321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9422002489 + 2909307844 = 97067^2 + 53938^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331310333 - 218 = 12331048189 is a prime.

It is a super-2 number, since 2×123313103332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12331310299 and 12331310308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331310323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165655166 + 6165655167.

It is an arithmetic number, because the mean of its divisors is an integer number (6165655167).

Almost surely, 212331310333 is an apocalyptic number.

It is an amenable number.

12331310333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331310333 is an equidigital number, since it uses as much as digits as its factorization.

12331310333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 12331310333 its reverse (33301313321), we get a palindrome (45632623654).

The spelling of 12331310333 in words is "twelve billion, three hundred thirty-one million, three hundred ten thousand, three hundred thirty-three".